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Finding the Fourth Proportional to 17,715.22, 24,447.69 and 9,757.78

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Solution

The fourth proportional to 17,715.22, 24,447.69 and 9,757.78 is: 13,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.22 : 24,447.69 = 9,757.78 : x
  2. Step 2: Convert to fraction form
    17,715.22/24,447.69 = 9,757.78/x
  3. Step 3: Cross multiply
    17,715.22x = 24,447.69 × 9,757.78
  4. Step 4: Simplify right side
    17,715.22x = 238,555,180.53
  5. Step 5: Solve for x
    x = 238,555,180.53/17,715.22
  6. Step 6: Final answer
    x = 13,466.11

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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.