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Finding the Fourth Proportional to 17,720.08, 24,452.74 and 9,760.74

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Solution

The fourth proportional to 17,720.08, 24,452.74 and 9,760.74 is: 13,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.08 : 24,452.74 = 9,760.74 : x
  2. Step 2: Convert to fraction form
    17,720.08/24,452.74 = 9,760.74/x
  3. Step 3: Cross multiply
    17,720.08x = 24,452.74 × 9,760.74
  4. Step 4: Simplify right side
    17,720.08x = 238,676,837.43
  5. Step 5: Solve for x
    x = 238,676,837.43/17,720.08
  6. Step 6: Final answer
    x = 13,469.29

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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.