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Finding the Fourth Proportional to 23,126.38, 34,695.03 and 7,544

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Solution

The fourth proportional to 23,126.38, 34,695.03 and 7,544 is: 11,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126.38 : 34,695.03 = 7,544 : x
  2. Step 2: Convert to fraction form
    23,126.38/34,695.03 = 7,544/x
  3. Step 3: Cross multiply
    23,126.38x = 34,695.03 × 7,544
  4. Step 4: Simplify right side
    23,126.38x = 261,739,306.32
  5. Step 5: Solve for x
    x = 261,739,306.32/23,126.38
  6. Step 6: Final answer
    x = 11,317.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.