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Finding the Fourth Proportional to 20,841.16, 31,259.98 and 8,191.18

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Solution

The fourth proportional to 20,841.16, 31,259.98 and 8,191.18 is: 12,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.16 : 31,259.98 = 8,191.18 : x
  2. Step 2: Convert to fraction form
    20,841.16/31,259.98 = 8,191.18/x
  3. Step 3: Cross multiply
    20,841.16x = 31,259.98 × 8,191.18
  4. Step 4: Simplify right side
    20,841.16x = 256,056,122.98
  5. Step 5: Solve for x
    x = 256,056,122.98/20,841.16
  6. Step 6: Final answer
    x = 12,286.08

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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.