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Finding the Fourth Proportional to 21,721.76, 32,584.46 and 6,932.78

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Solution

The fourth proportional to 21,721.76, 32,584.46 and 6,932.78 is: 10,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.76 : 32,584.46 = 6,932.78 : x
  2. Step 2: Convert to fraction form
    21,721.76/32,584.46 = 6,932.78/x
  3. Step 3: Cross multiply
    21,721.76x = 32,584.46 × 6,932.78
  4. Step 4: Simplify right side
    21,721.76x = 225,900,892.60
  5. Step 5: Solve for x
    x = 225,900,892.60/21,721.76
  6. Step 6: Final answer
    x = 10,399.75

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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.