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Finding the Fourth Proportional to 26,942.32, 40,338.96 and 13,766.32

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Solution

The fourth proportional to 26,942.32, 40,338.96 and 13,766.32 is: 20,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.32 : 40,338.96 = 13,766.32 : x
  2. Step 2: Convert to fraction form
    26,942.32/40,338.96 = 13,766.32/x
  3. Step 3: Cross multiply
    26,942.32x = 40,338.96 × 13,766.32
  4. Step 4: Simplify right side
    26,942.32x = 555,319,031.83
  5. Step 5: Solve for x
    x = 555,319,031.83/26,942.32
  6. Step 6: Final answer
    x = 20,611.40

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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.