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Finding the Fourth Proportional to 23,593.60, 32,553.28 and 15,200

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Solution

The fourth proportional to 23,593.60, 32,553.28 and 15,200 is: 20,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593.60 : 32,553.28 = 15,200 : x
  2. Step 2: Convert to fraction form
    23,593.60/32,553.28 = 15,200/x
  3. Step 3: Cross multiply
    23,593.60x = 32,553.28 × 15,200
  4. Step 4: Simplify right side
    23,593.60x = 494,809,856
  5. Step 5: Solve for x
    x = 494,809,856/23,593.60
  6. Step 6: Final answer
    x = 20,972.21

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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.