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Finding the Fourth Proportional to 20,873.92, 31,310.88 and 9,187.20

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Solution

The fourth proportional to 20,873.92, 31,310.88 and 9,187.20 is: 13,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.92 : 31,310.88 = 9,187.20 : x
  2. Step 2: Convert to fraction form
    20,873.92/31,310.88 = 9,187.20/x
  3. Step 3: Cross multiply
    20,873.92x = 31,310.88 × 9,187.20
  4. Step 4: Simplify right side
    20,873.92x = 287,659,316.74
  5. Step 5: Solve for x
    x = 287,659,316.74/20,873.92
  6. Step 6: Final answer
    x = 13,780.80

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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.