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Finding the Fourth Proportional to 21,414.74, 32,122.02 and 9,565.46

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Solution

The fourth proportional to 21,414.74, 32,122.02 and 9,565.46 is: 14,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.74 : 32,122.02 = 9,565.46 : x
  2. Step 2: Convert to fraction form
    21,414.74/32,122.02 = 9,565.46/x
  3. Step 3: Cross multiply
    21,414.74x = 32,122.02 × 9,565.46
  4. Step 4: Simplify right side
    21,414.74x = 307,261,897.43
  5. Step 5: Solve for x
    x = 307,261,897.43/21,414.74
  6. Step 6: Final answer
    x = 14,348.15

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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.