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Finding the Fourth Proportional to 17,719.55, 24,454.09 and 9,761.78

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Solution

The fourth proportional to 17,719.55, 24,454.09 and 9,761.78 is: 13,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.55 : 24,454.09 = 9,761.78 : x
  2. Step 2: Convert to fraction form
    17,719.55/24,454.09 = 9,761.78/x
  3. Step 3: Cross multiply
    17,719.55x = 24,454.09 × 9,761.78
  4. Step 4: Simplify right side
    17,719.55x = 238,715,300.01
  5. Step 5: Solve for x
    x = 238,715,300.01/17,719.55
  6. Step 6: Final answer
    x = 13,471.86

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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.