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Finding the Fourth Proportional to 20,344.38, 30,574.89 and 9,963.42

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Solution

The fourth proportional to 20,344.38, 30,574.89 and 9,963.42 is: 14,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.38 : 30,574.89 = 9,963.42 : x
  2. Step 2: Convert to fraction form
    20,344.38/30,574.89 = 9,963.42/x
  3. Step 3: Cross multiply
    20,344.38x = 30,574.89 × 9,963.42
  4. Step 4: Simplify right side
    20,344.38x = 304,630,470.52
  5. Step 5: Solve for x
    x = 304,630,470.52/20,344.38
  6. Step 6: Final answer
    x = 14,973.69

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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.