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Finding the Fourth Proportional to 25,715.92, 35,487 and 14,538.16

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Solution

The fourth proportional to 25,715.92, 35,487 and 14,538.16 is: 20,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.92 : 35,487 = 14,538.16 : x
  2. Step 2: Convert to fraction form
    25,715.92/35,487 = 14,538.16/x
  3. Step 3: Cross multiply
    25,715.92x = 35,487 × 14,538.16
  4. Step 4: Simplify right side
    25,715.92x = 515,915,683.92
  5. Step 5: Solve for x
    x = 515,915,683.92/25,715.92
  6. Step 6: Final answer
    x = 20,062.11

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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.