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Finding the Fourth Proportional to 13,548.38, 18,689.24 and 7,882.49

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Solution

The fourth proportional to 13,548.38, 18,689.24 and 7,882.49 is: 10,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.38 : 18,689.24 = 7,882.49 : x
  2. Step 2: Convert to fraction form
    13,548.38/18,689.24 = 7,882.49/x
  3. Step 3: Cross multiply
    13,548.38x = 18,689.24 × 7,882.49
  4. Step 4: Simplify right side
    13,548.38x = 147,317,747.41
  5. Step 5: Solve for x
    x = 147,317,747.41/13,548.38
  6. Step 6: Final answer
    x = 10,873.46

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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.