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Finding the Fourth Proportional to 10,231.34, 15,352.25 and 6,020.71

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Solution

The fourth proportional to 10,231.34, 15,352.25 and 6,020.71 is: 9,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.34 : 15,352.25 = 6,020.71 : x
  2. Step 2: Convert to fraction form
    10,231.34/15,352.25 = 6,020.71/x
  3. Step 3: Cross multiply
    10,231.34x = 15,352.25 × 6,020.71
  4. Step 4: Simplify right side
    10,231.34x = 92,431,376.61
  5. Step 5: Solve for x
    x = 92,431,376.61/10,231.34
  6. Step 6: Final answer
    x = 9,034.15

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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.