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Finding the Fourth Proportional to 13,517.38, 18,653.78 and 7,549.13

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Solution

The fourth proportional to 13,517.38, 18,653.78 and 7,549.13 is: 10,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.38 : 18,653.78 = 7,549.13 : x
  2. Step 2: Convert to fraction form
    13,517.38/18,653.78 = 7,549.13/x
  3. Step 3: Cross multiply
    13,517.38x = 18,653.78 × 7,549.13
  4. Step 4: Simplify right side
    13,517.38x = 140,819,772.47
  5. Step 5: Solve for x
    x = 140,819,772.47/13,517.38
  6. Step 6: Final answer
    x = 10,417.69

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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.