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Finding the Fourth Proportional to 17,683.92, 24,403.82 and 9,725.94

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Solution

The fourth proportional to 17,683.92, 24,403.82 and 9,725.94 is: 13,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.92 : 24,403.82 = 9,725.94 : x
  2. Step 2: Convert to fraction form
    17,683.92/24,403.82 = 9,725.94/x
  3. Step 3: Cross multiply
    17,683.92x = 24,403.82 × 9,725.94
  4. Step 4: Simplify right side
    17,683.92x = 237,350,040.46
  5. Step 5: Solve for x
    x = 237,350,040.46/17,683.92
  6. Step 6: Final answer
    x = 13,421.80

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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.