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Finding the Fourth Proportional to 24,382.76, 33,648.24 and 13,204.76

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Solution

The fourth proportional to 24,382.76, 33,648.24 and 13,204.76 is: 18,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.76 : 33,648.24 = 13,204.76 : x
  2. Step 2: Convert to fraction form
    24,382.76/33,648.24 = 13,204.76/x
  3. Step 3: Cross multiply
    24,382.76x = 33,648.24 × 13,204.76
  4. Step 4: Simplify right side
    24,382.76x = 444,316,941.08
  5. Step 5: Solve for x
    x = 444,316,941.08/24,382.76
  6. Step 6: Final answer
    x = 18,222.59

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Half scale
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Double scale
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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.