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Finding the Fourth Proportional to 17,002.38, 25,513.42 and 7,140.80

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Solution

The fourth proportional to 17,002.38, 25,513.42 and 7,140.80 is: 10,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.38 : 25,513.42 = 7,140.80 : x
  2. Step 2: Convert to fraction form
    17,002.38/25,513.42 = 7,140.80/x
  3. Step 3: Cross multiply
    17,002.38x = 25,513.42 × 7,140.80
  4. Step 4: Simplify right side
    17,002.38x = 182,186,229.54
  5. Step 5: Solve for x
    x = 182,186,229.54/17,002.38
  6. Step 6: Final answer
    x = 10,715.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.