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Finding the Fourth Proportional to 24,456.46, 36,689.95 and 7,589.12

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Solution

The fourth proportional to 24,456.46, 36,689.95 and 7,589.12 is: 11,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.46 : 36,689.95 = 7,589.12 : x
  2. Step 2: Convert to fraction form
    24,456.46/36,689.95 = 7,589.12/x
  3. Step 3: Cross multiply
    24,456.46x = 36,689.95 × 7,589.12
  4. Step 4: Simplify right side
    24,456.46x = 278,444,230.92
  5. Step 5: Solve for x
    x = 278,444,230.92/24,456.46
  6. Step 6: Final answer
    x = 11,385.31

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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.