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Finding the Fourth Proportional to 24,121, 33,292.74 and 14,190.76

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Solution

The fourth proportional to 24,121, 33,292.74 and 14,190.76 is: 19,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121 : 33,292.74 = 14,190.76 : x
  2. Step 2: Convert to fraction form
    24,121/33,292.74 = 14,190.76/x
  3. Step 3: Cross multiply
    24,121x = 33,292.74 × 14,190.76
  4. Step 4: Simplify right side
    24,121x = 472,449,283.08
  5. Step 5: Solve for x
    x = 472,449,283.08/24,121
  6. Step 6: Final answer
    x = 19,586.64

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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.