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Finding the Fourth Proportional to 17,641.68, 24,345.48 and 9,683.97

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Solution

The fourth proportional to 17,641.68, 24,345.48 and 9,683.97 is: 13,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.68 : 24,345.48 = 9,683.97 : x
  2. Step 2: Convert to fraction form
    17,641.68/24,345.48 = 9,683.97/x
  3. Step 3: Cross multiply
    17,641.68x = 24,345.48 × 9,683.97
  4. Step 4: Simplify right side
    17,641.68x = 235,760,897.96
  5. Step 5: Solve for x
    x = 235,760,897.96/17,641.68
  6. Step 6: Final answer
    x = 13,363.86

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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.