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Finding the Fourth Proportional to 15,487.92, 23,232 and 3,801.24

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Solution

The fourth proportional to 15,487.92, 23,232 and 3,801.24 is: 5,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.92 : 23,232 = 3,801.24 : x
  2. Step 2: Convert to fraction form
    15,487.92/23,232 = 3,801.24/x
  3. Step 3: Cross multiply
    15,487.92x = 23,232 × 3,801.24
  4. Step 4: Simplify right side
    15,487.92x = 88,310,407.68
  5. Step 5: Solve for x
    x = 88,310,407.68/15,487.92
  6. Step 6: Final answer
    x = 5,701.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.