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Finding the Fourth Proportional to 17,746.69, 24,489.32 and 9,788.90

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Solution

The fourth proportional to 17,746.69, 24,489.32 and 9,788.90 is: 13,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.69 : 24,489.32 = 9,788.90 : x
  2. Step 2: Convert to fraction form
    17,746.69/24,489.32 = 9,788.90/x
  3. Step 3: Cross multiply
    17,746.69x = 24,489.32 × 9,788.90
  4. Step 4: Simplify right side
    17,746.69x = 239,723,382.10
  5. Step 5: Solve for x
    x = 239,723,382.10/17,746.69
  6. Step 6: Final answer
    x = 13,508.06

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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.