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Finding the Fourth Proportional to 20,819.80, 31,237.80 and 9,124.78

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Solution

The fourth proportional to 20,819.80, 31,237.80 and 9,124.78 is: 13,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.80 : 31,237.80 = 9,124.78 : x
  2. Step 2: Convert to fraction form
    20,819.80/31,237.80 = 9,124.78/x
  3. Step 3: Cross multiply
    20,819.80x = 31,237.80 × 9,124.78
  4. Step 4: Simplify right side
    20,819.80x = 285,038,052.68
  5. Step 5: Solve for x
    x = 285,038,052.68/20,819.80
  6. Step 6: Final answer
    x = 13,690.72

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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.