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Finding the Fourth Proportional to 20,873.60, 31,314.32 and 8,394.57

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Solution

The fourth proportional to 20,873.60, 31,314.32 and 8,394.57 is: 12,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.60 : 31,314.32 = 8,394.57 : x
  2. Step 2: Convert to fraction form
    20,873.60/31,314.32 = 8,394.57/x
  3. Step 3: Cross multiply
    20,873.60x = 31,314.32 × 8,394.57
  4. Step 4: Simplify right side
    20,873.60x = 262,870,209.27
  5. Step 5: Solve for x
    x = 262,870,209.27/20,873.60
  6. Step 6: Final answer
    x = 12,593.43

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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.