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Finding the Fourth Proportional to 23,242.56, 34,865.28 and 7,660.32

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Solution

The fourth proportional to 23,242.56, 34,865.28 and 7,660.32 is: 11,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.56 : 34,865.28 = 7,660.32 : x
  2. Step 2: Convert to fraction form
    23,242.56/34,865.28 = 7,660.32/x
  3. Step 3: Cross multiply
    23,242.56x = 34,865.28 × 7,660.32
  4. Step 4: Simplify right side
    23,242.56x = 267,079,201.69
  5. Step 5: Solve for x
    x = 267,079,201.69/23,242.56
  6. Step 6: Final answer
    x = 11,490.95

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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.