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Finding the Fourth Proportional to 24,005, 36,013.26 and 7,589

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Solution

The fourth proportional to 24,005, 36,013.26 and 7,589 is: 11,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005 : 36,013.26 = 7,589 : x
  2. Step 2: Convert to fraction form
    24,005/36,013.26 = 7,589/x
  3. Step 3: Cross multiply
    24,005x = 36,013.26 × 7,589
  4. Step 4: Simplify right side
    24,005x = 273,304,630.14
  5. Step 5: Solve for x
    x = 273,304,630.14/24,005
  6. Step 6: Final answer
    x = 11,385.32

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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.