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Finding the Fourth Proportional to 24,165, 33,348.24 and 14,738.76

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Solution

The fourth proportional to 24,165, 33,348.24 and 14,738.76 is: 20,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 33,348.24 = 14,738.76 : x
  2. Step 2: Convert to fraction form
    24,165/33,348.24 = 14,738.76/x
  3. Step 3: Cross multiply
    24,165x = 33,348.24 × 14,738.76
  4. Step 4: Simplify right side
    24,165x = 491,511,705.78
  5. Step 5: Solve for x
    x = 491,511,705.78/24,165
  6. Step 6: Final answer
    x = 20,339.82

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Half scale
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Double scale
Find fourth proportional to 24,166, 33,349.62 and 14,739.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.