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Finding the Fourth Proportional to 20,423.68, 30,637.41 and 7,944.65

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Solution

The fourth proportional to 20,423.68, 30,637.41 and 7,944.65 is: 11,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.68 : 30,637.41 = 7,944.65 : x
  2. Step 2: Convert to fraction form
    20,423.68/30,637.41 = 7,944.65/x
  3. Step 3: Cross multiply
    20,423.68x = 30,637.41 × 7,944.65
  4. Step 4: Simplify right side
    20,423.68x = 243,403,499.36
  5. Step 5: Solve for x
    x = 243,403,499.36/20,423.68
  6. Step 6: Final answer
    x = 11,917.71

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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.