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Finding the Fourth Proportional to 17,746.22, 24,489.90 and 9,788.66

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Solution

The fourth proportional to 17,746.22, 24,489.90 and 9,788.66 is: 13,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.22 : 24,489.90 = 9,788.66 : x
  2. Step 2: Convert to fraction form
    17,746.22/24,489.90 = 9,788.66/x
  3. Step 3: Cross multiply
    17,746.22x = 24,489.90 × 9,788.66
  4. Step 4: Simplify right side
    17,746.22x = 239,723,304.53
  5. Step 5: Solve for x
    x = 239,723,304.53/17,746.22
  6. Step 6: Final answer
    x = 13,508.42

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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.