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Finding the Fourth Proportional to 26,494.29, 39,737.18 and 6,771.80

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Solution

The fourth proportional to 26,494.29, 39,737.18 and 6,771.80 is: 10,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.29 : 39,737.18 = 6,771.80 : x
  2. Step 2: Convert to fraction form
    26,494.29/39,737.18 = 6,771.80/x
  3. Step 3: Cross multiply
    26,494.29x = 39,737.18 × 6,771.80
  4. Step 4: Simplify right side
    26,494.29x = 269,092,351.80
  5. Step 5: Solve for x
    x = 269,092,351.80/26,494.29
  6. Step 6: Final answer
    x = 10,156.62

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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.