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Finding the Fourth Proportional to 21,760.92, 32,642.88 and 6,766

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Solution

The fourth proportional to 21,760.92, 32,642.88 and 6,766 is: 10,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.92 : 32,642.88 = 6,766 : x
  2. Step 2: Convert to fraction form
    21,760.92/32,642.88 = 6,766/x
  3. Step 3: Cross multiply
    21,760.92x = 32,642.88 × 6,766
  4. Step 4: Simplify right side
    21,760.92x = 220,861,726.08
  5. Step 5: Solve for x
    x = 220,861,726.08/21,760.92
  6. Step 6: Final answer
    x = 10,149.47

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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.