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Finding the Fourth Proportional to 20,436.68, 30,646.92 and 7,105.70

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Solution

The fourth proportional to 20,436.68, 30,646.92 and 7,105.70 is: 10,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.68 : 30,646.92 = 7,105.70 : x
  2. Step 2: Convert to fraction form
    20,436.68/30,646.92 = 7,105.70/x
  3. Step 3: Cross multiply
    20,436.68x = 30,646.92 × 7,105.70
  4. Step 4: Simplify right side
    20,436.68x = 217,767,819.44
  5. Step 5: Solve for x
    x = 217,767,819.44/20,436.68
  6. Step 6: Final answer
    x = 10,655.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.