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Finding the Fourth Proportional to 17,024.76, 25,540.28 and 7,665

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Solution

The fourth proportional to 17,024.76, 25,540.28 and 7,665 is: 11,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.76 : 25,540.28 = 7,665 : x
  2. Step 2: Convert to fraction form
    17,024.76/25,540.28 = 7,665/x
  3. Step 3: Cross multiply
    17,024.76x = 25,540.28 × 7,665
  4. Step 4: Simplify right side
    17,024.76x = 195,766,246.20
  5. Step 5: Solve for x
    x = 195,766,246.20/17,024.76
  6. Step 6: Final answer
    x = 11,498.91

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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.