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Finding the Fourth Proportional to 20,402.38, 30,578.95 and 10,536.27

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Solution

The fourth proportional to 20,402.38, 30,578.95 and 10,536.27 is: 15,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.38 : 30,578.95 = 10,536.27 : x
  2. Step 2: Convert to fraction form
    20,402.38/30,578.95 = 10,536.27/x
  3. Step 3: Cross multiply
    20,402.38x = 30,578.95 × 10,536.27
  4. Step 4: Simplify right side
    20,402.38x = 322,188,073.52
  5. Step 5: Solve for x
    x = 322,188,073.52/20,402.38
  6. Step 6: Final answer
    x = 15,791.69

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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.