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Finding the Fourth Proportional to 26,559.57, 39,841.79 and 6,838.19

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Solution

The fourth proportional to 26,559.57, 39,841.79 and 6,838.19 is: 10,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,559.57 : 39,841.79 = 6,838.19 : x
  2. Step 2: Convert to fraction form
    26,559.57/39,841.79 = 6,838.19/x
  3. Step 3: Cross multiply
    26,559.57x = 39,841.79 × 6,838.19
  4. Step 4: Simplify right side
    26,559.57x = 272,445,729.96
  5. Step 5: Solve for x
    x = 272,445,729.96/26,559.57
  6. Step 6: Final answer
    x = 10,257.91

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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.