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Finding the Fourth Proportional to 24,456.50, 36,687.04 and 7,589.64

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Solution

The fourth proportional to 24,456.50, 36,687.04 and 7,589.64 is: 11,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.50 : 36,687.04 = 7,589.64 : x
  2. Step 2: Convert to fraction form
    24,456.50/36,687.04 = 7,589.64/x
  3. Step 3: Cross multiply
    24,456.50x = 36,687.04 × 7,589.64
  4. Step 4: Simplify right side
    24,456.50x = 278,441,426.27
  5. Step 5: Solve for x
    x = 278,441,426.27/24,456.50
  6. Step 6: Final answer
    x = 11,385.17

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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.