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Finding the Fourth Proportional to 20,902.92, 31,347.66 and 6,859.14

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Solution

The fourth proportional to 20,902.92, 31,347.66 and 6,859.14 is: 10,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.92 : 31,347.66 = 6,859.14 : x
  2. Step 2: Convert to fraction form
    20,902.92/31,347.66 = 6,859.14/x
  3. Step 3: Cross multiply
    20,902.92x = 31,347.66 × 6,859.14
  4. Step 4: Simplify right side
    20,902.92x = 215,017,988.61
  5. Step 5: Solve for x
    x = 215,017,988.61/20,902.92
  6. Step 6: Final answer
    x = 10,286.50

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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.