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Finding the Fourth Proportional to 20,843.79, 31,251.11 and 10,449.87

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Solution

The fourth proportional to 20,843.79, 31,251.11 and 10,449.87 is: 15,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.79 : 31,251.11 = 10,449.87 : x
  2. Step 2: Convert to fraction form
    20,843.79/31,251.11 = 10,449.87/x
  3. Step 3: Cross multiply
    20,843.79x = 31,251.11 × 10,449.87
  4. Step 4: Simplify right side
    20,843.79x = 326,569,984.61
  5. Step 5: Solve for x
    x = 326,569,984.61/20,843.79
  6. Step 6: Final answer
    x = 15,667.50

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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.