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Finding the Fourth Proportional to 26,098.68, 39,147.82 and 6,377.05

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Solution

The fourth proportional to 26,098.68, 39,147.82 and 6,377.05 is: 9,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.68 : 39,147.82 = 6,377.05 : x
  2. Step 2: Convert to fraction form
    26,098.68/39,147.82 = 6,377.05/x
  3. Step 3: Cross multiply
    26,098.68x = 39,147.82 × 6,377.05
  4. Step 4: Simplify right side
    26,098.68x = 249,647,605.53
  5. Step 5: Solve for x
    x = 249,647,605.53/26,098.68
  6. Step 6: Final answer
    x = 9,565.53

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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.