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Finding the Fourth Proportional to 10,232.70, 15,344.01 and 3,306.30

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Solution

The fourth proportional to 10,232.70, 15,344.01 and 3,306.30 is: 4,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.70 : 15,344.01 = 3,306.30 : x
  2. Step 2: Convert to fraction form
    10,232.70/15,344.01 = 3,306.30/x
  3. Step 3: Cross multiply
    10,232.70x = 15,344.01 × 3,306.30
  4. Step 4: Simplify right side
    10,232.70x = 50,731,900.26
  5. Step 5: Solve for x
    x = 50,731,900.26/10,232.70
  6. Step 6: Final answer
    x = 4,957.82

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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.