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Finding the Fourth Proportional to 20,862.92, 31,272.51 and 9,760.25

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Solution

The fourth proportional to 20,862.92, 31,272.51 and 9,760.25 is: 14,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.92 : 31,272.51 = 9,760.25 : x
  2. Step 2: Convert to fraction form
    20,862.92/31,272.51 = 9,760.25/x
  3. Step 3: Cross multiply
    20,862.92x = 31,272.51 × 9,760.25
  4. Step 4: Simplify right side
    20,862.92x = 305,227,515.73
  5. Step 5: Solve for x
    x = 305,227,515.73/20,862.92
  6. Step 6: Final answer
    x = 14,630.14

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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.