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Finding the Fourth Proportional to 17,854.83, 26,778.60 and 6,757.70

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Solution

The fourth proportional to 17,854.83, 26,778.60 and 6,757.70 is: 10,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.83 : 26,778.60 = 6,757.70 : x
  2. Step 2: Convert to fraction form
    17,854.83/26,778.60 = 6,757.70/x
  3. Step 3: Cross multiply
    17,854.83x = 26,778.60 × 6,757.70
  4. Step 4: Simplify right side
    17,854.83x = 180,961,611.33
  5. Step 5: Solve for x
    x = 180,961,611.33/17,854.83
  6. Step 6: Final answer
    x = 10,135.16

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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.