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Finding the Fourth Proportional to 15,760.17, 23,640.92 and 7,334.57

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Solution

The fourth proportional to 15,760.17, 23,640.92 and 7,334.57 is: 11,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.17 : 23,640.92 = 7,334.57 : x
  2. Step 2: Convert to fraction form
    15,760.17/23,640.92 = 7,334.57/x
  3. Step 3: Cross multiply
    15,760.17x = 23,640.92 × 7,334.57
  4. Step 4: Simplify right side
    15,760.17x = 173,395,827.73
  5. Step 5: Solve for x
    x = 173,395,827.73/15,760.17
  6. Step 6: Final answer
    x = 11,002.15

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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.