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Finding the Fourth Proportional to 20,578.32, 30,854.52 and 13,550.76

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Solution

The fourth proportional to 20,578.32, 30,854.52 and 13,550.76 is: 20,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.32 : 30,854.52 = 13,550.76 : x
  2. Step 2: Convert to fraction form
    20,578.32/30,854.52 = 13,550.76/x
  3. Step 3: Cross multiply
    20,578.32x = 30,854.52 × 13,550.76
  4. Step 4: Simplify right side
    20,578.32x = 418,102,195.44
  5. Step 5: Solve for x
    x = 418,102,195.44/20,578.32
  6. Step 6: Final answer
    x = 20,317.61

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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.