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Finding the Fourth Proportional to 17,711.56, 24,441.89 and 9,753.78

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Solution

The fourth proportional to 17,711.56, 24,441.89 and 9,753.78 is: 13,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.56 : 24,441.89 = 9,753.78 : x
  2. Step 2: Convert to fraction form
    17,711.56/24,441.89 = 9,753.78/x
  3. Step 3: Cross multiply
    17,711.56x = 24,441.89 × 9,753.78
  4. Step 4: Simplify right side
    17,711.56x = 238,400,860.73
  5. Step 5: Solve for x
    x = 238,400,860.73/17,711.56
  6. Step 6: Final answer
    x = 13,460.18

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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.