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Finding the Fourth Proportional to 23,581.71, 32,543.63 and 12,972.15

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Solution

The fourth proportional to 23,581.71, 32,543.63 and 12,972.15 is: 17,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.71 : 32,543.63 = 12,972.15 : x
  2. Step 2: Convert to fraction form
    23,581.71/32,543.63 = 12,972.15/x
  3. Step 3: Cross multiply
    23,581.71x = 32,543.63 × 12,972.15
  4. Step 4: Simplify right side
    23,581.71x = 422,160,785.04
  5. Step 5: Solve for x
    x = 422,160,785.04/23,581.71
  6. Step 6: Final answer
    x = 17,902.04

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