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Finding the Fourth Proportional to 18,134.48, 25,031.88 and 10,682

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Solution

The fourth proportional to 18,134.48, 25,031.88 and 10,682 is: 14,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.48 : 25,031.88 = 10,682 : x
  2. Step 2: Convert to fraction form
    18,134.48/25,031.88 = 10,682/x
  3. Step 3: Cross multiply
    18,134.48x = 25,031.88 × 10,682
  4. Step 4: Simplify right side
    18,134.48x = 267,390,542.16
  5. Step 5: Solve for x
    x = 267,390,542.16/18,134.48
  6. Step 6: Final answer
    x = 14,744.87

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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.