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Finding the Fourth Proportional to 26,025.25, 39,049.97 and 8,258.71

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Solution

The fourth proportional to 26,025.25, 39,049.97 and 8,258.71 is: 12,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,025.25 : 39,049.97 = 8,258.71 : x
  2. Step 2: Convert to fraction form
    26,025.25/39,049.97 = 8,258.71/x
  3. Step 3: Cross multiply
    26,025.25x = 39,049.97 × 8,258.71
  4. Step 4: Simplify right side
    26,025.25x = 322,502,377.74
  5. Step 5: Solve for x
    x = 322,502,377.74/26,025.25
  6. Step 6: Final answer
    x = 12,391.90

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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.