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Finding the Fourth Proportional to 17,677.72, 24,395.88 and 9,720.55

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Solution

The fourth proportional to 17,677.72, 24,395.88 and 9,720.55 is: 13,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.72 : 24,395.88 = 9,720.55 : x
  2. Step 2: Convert to fraction form
    17,677.72/24,395.88 = 9,720.55/x
  3. Step 3: Cross multiply
    17,677.72x = 24,395.88 × 9,720.55
  4. Step 4: Simplify right side
    17,677.72x = 237,141,371.33
  5. Step 5: Solve for x
    x = 237,141,371.33/17,677.72
  6. Step 6: Final answer
    x = 13,414.70

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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.