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Finding the Fourth Proportional to 20,108.92, 30,123.07 and 9,589.15

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Solution

The fourth proportional to 20,108.92, 30,123.07 and 9,589.15 is: 14,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,108.92 : 30,123.07 = 9,589.15 : x
  2. Step 2: Convert to fraction form
    20,108.92/30,123.07 = 9,589.15/x
  3. Step 3: Cross multiply
    20,108.92x = 30,123.07 × 9,589.15
  4. Step 4: Simplify right side
    20,108.92x = 288,854,636.69
  5. Step 5: Solve for x
    x = 288,854,636.69/20,108.92
  6. Step 6: Final answer
    x = 14,364.50

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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.