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Finding the Fourth Proportional to 20,782.92, 31,177.14 and 7,635.48

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Solution

The fourth proportional to 20,782.92, 31,177.14 and 7,635.48 is: 11,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.92 : 31,177.14 = 7,635.48 : x
  2. Step 2: Convert to fraction form
    20,782.92/31,177.14 = 7,635.48/x
  3. Step 3: Cross multiply
    20,782.92x = 31,177.14 × 7,635.48
  4. Step 4: Simplify right side
    20,782.92x = 238,052,428.93
  5. Step 5: Solve for x
    x = 238,052,428.93/20,782.92
  6. Step 6: Final answer
    x = 11,454.23

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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.