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Finding the Fourth Proportional to 12,524.10, 17,301.26 and 10,002.90

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Solution

The fourth proportional to 12,524.10, 17,301.26 and 10,002.90 is: 13,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.10 : 17,301.26 = 10,002.90 : x
  2. Step 2: Convert to fraction form
    12,524.10/17,301.26 = 10,002.90/x
  3. Step 3: Cross multiply
    12,524.10x = 17,301.26 × 10,002.90
  4. Step 4: Simplify right side
    12,524.10x = 173,062,773.65
  5. Step 5: Solve for x
    x = 173,062,773.65/12,524.10
  6. Step 6: Final answer
    x = 13,818.38

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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.