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Finding the Fourth Proportional to 23,116.38, 34,680.03 and 7,534

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Solution

The fourth proportional to 23,116.38, 34,680.03 and 7,534 is: 11,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.38 : 34,680.03 = 7,534 : x
  2. Step 2: Convert to fraction form
    23,116.38/34,680.03 = 7,534/x
  3. Step 3: Cross multiply
    23,116.38x = 34,680.03 × 7,534
  4. Step 4: Simplify right side
    23,116.38x = 261,279,346.02
  5. Step 5: Solve for x
    x = 261,279,346.02/23,116.38
  6. Step 6: Final answer
    x = 11,302.78

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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.