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Finding the Fourth Proportional to 17,743.47, 24,487.10 and 9,785.69

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Solution

The fourth proportional to 17,743.47, 24,487.10 and 9,785.69 is: 13,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.47 : 24,487.10 = 9,785.69 : x
  2. Step 2: Convert to fraction form
    17,743.47/24,487.10 = 9,785.69/x
  3. Step 3: Cross multiply
    17,743.47x = 24,487.10 × 9,785.69
  4. Step 4: Simplify right side
    17,743.47x = 239,623,169.60
  5. Step 5: Solve for x
    x = 239,623,169.60/17,743.47
  6. Step 6: Final answer
    x = 13,504.87

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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.