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Finding the Fourth Proportional to 15,781.82, 21,780.24 and 9,069.75

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Solution

The fourth proportional to 15,781.82, 21,780.24 and 9,069.75 is: 12,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.82 : 21,780.24 = 9,069.75 : x
  2. Step 2: Convert to fraction form
    15,781.82/21,780.24 = 9,069.75/x
  3. Step 3: Cross multiply
    15,781.82x = 21,780.24 × 9,069.75
  4. Step 4: Simplify right side
    15,781.82x = 197,541,348.75
  5. Step 5: Solve for x
    x = 197,541,348.75/15,781.82
  6. Step 6: Final answer
    x = 12,517.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.