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Finding the Fourth Proportional to 12,540.46, 17,294.43 and 9,002.38

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Solution

The fourth proportional to 12,540.46, 17,294.43 and 9,002.38 is: 12,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.46 : 17,294.43 = 9,002.38 : x
  2. Step 2: Convert to fraction form
    12,540.46/17,294.43 = 9,002.38/x
  3. Step 3: Cross multiply
    12,540.46x = 17,294.43 × 9,002.38
  4. Step 4: Simplify right side
    12,540.46x = 155,691,030.74
  5. Step 5: Solve for x
    x = 155,691,030.74/12,540.46
  6. Step 6: Final answer
    x = 12,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.