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Finding the Fourth Proportional to 17,683.91, 24,403.11 and 9,725.66

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Solution

The fourth proportional to 17,683.91, 24,403.11 and 9,725.66 is: 13,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.91 : 24,403.11 = 9,725.66 : x
  2. Step 2: Convert to fraction form
    17,683.91/24,403.11 = 9,725.66/x
  3. Step 3: Cross multiply
    17,683.91x = 24,403.11 × 9,725.66
  4. Step 4: Simplify right side
    17,683.91x = 237,336,350.80
  5. Step 5: Solve for x
    x = 237,336,350.80/17,683.91
  6. Step 6: Final answer
    x = 13,421.03

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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.