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Finding the Fourth Proportional to 10,231.38, 15,347 and 2,632.65

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Solution

The fourth proportional to 10,231.38, 15,347 and 2,632.65 is: 3,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.38 : 15,347 = 2,632.65 : x
  2. Step 2: Convert to fraction form
    10,231.38/15,347 = 2,632.65/x
  3. Step 3: Cross multiply
    10,231.38x = 15,347 × 2,632.65
  4. Step 4: Simplify right side
    10,231.38x = 40,403,279.55
  5. Step 5: Solve for x
    x = 40,403,279.55/10,231.38
  6. Step 6: Final answer
    x = 3,948.96

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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.