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Finding the Fourth Proportional to 20,278.71, 30,400.43 and 9,743.45

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Solution

The fourth proportional to 20,278.71, 30,400.43 and 9,743.45 is: 14,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.71 : 30,400.43 = 9,743.45 : x
  2. Step 2: Convert to fraction form
    20,278.71/30,400.43 = 9,743.45/x
  3. Step 3: Cross multiply
    20,278.71x = 30,400.43 × 9,743.45
  4. Step 4: Simplify right side
    20,278.71x = 296,204,942.04
  5. Step 5: Solve for x
    x = 296,204,942.04/20,278.71
  6. Step 6: Final answer
    x = 14,606.70

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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.