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Finding the Fourth Proportional to 10,353.10, 15,529.65 and 9,229.90

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Solution

The fourth proportional to 10,353.10, 15,529.65 and 9,229.90 is: 13,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.10 : 15,529.65 = 9,229.90 : x
  2. Step 2: Convert to fraction form
    10,353.10/15,529.65 = 9,229.90/x
  3. Step 3: Cross multiply
    10,353.10x = 15,529.65 × 9,229.90
  4. Step 4: Simplify right side
    10,353.10x = 143,337,116.54
  5. Step 5: Solve for x
    x = 143,337,116.54/10,353.10
  6. Step 6: Final answer
    x = 13,844.85

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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.