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Finding the Fourth Proportional to 26,843.24, 40,248.96 and 8,117.60

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Solution

The fourth proportional to 26,843.24, 40,248.96 and 8,117.60 is: 12,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,843.24 : 40,248.96 = 8,117.60 : x
  2. Step 2: Convert to fraction form
    26,843.24/40,248.96 = 8,117.60/x
  3. Step 3: Cross multiply
    26,843.24x = 40,248.96 × 8,117.60
  4. Step 4: Simplify right side
    26,843.24x = 326,724,957.70
  5. Step 5: Solve for x
    x = 326,724,957.70/26,843.24
  6. Step 6: Final answer
    x = 12,171.59

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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.