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Finding the Fourth Proportional to 10,147.70, 15,232.50 and 8,522.04

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Solution

The fourth proportional to 10,147.70, 15,232.50 and 8,522.04 is: 12,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.70 : 15,232.50 = 8,522.04 : x
  2. Step 2: Convert to fraction form
    10,147.70/15,232.50 = 8,522.04/x
  3. Step 3: Cross multiply
    10,147.70x = 15,232.50 × 8,522.04
  4. Step 4: Simplify right side
    10,147.70x = 129,811,974.30
  5. Step 5: Solve for x
    x = 129,811,974.30/10,147.70
  6. Step 6: Final answer
    x = 12,792.26

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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.