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Finding the Fourth Proportional to 21,591.28, 32,386.92 and 8,434.42

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Solution

The fourth proportional to 21,591.28, 32,386.92 and 8,434.42 is: 12,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591.28 : 32,386.92 = 8,434.42 : x
  2. Step 2: Convert to fraction form
    21,591.28/32,386.92 = 8,434.42/x
  3. Step 3: Cross multiply
    21,591.28x = 32,386.92 × 8,434.42
  4. Step 4: Simplify right side
    21,591.28x = 273,164,843.61
  5. Step 5: Solve for x
    x = 273,164,843.61/21,591.28
  6. Step 6: Final answer
    x = 12,651.63

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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.