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Finding the Fourth Proportional to 26,032.27, 39,052.22 and 8,257

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Solution

The fourth proportional to 26,032.27, 39,052.22 and 8,257 is: 12,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032.27 : 39,052.22 = 8,257 : x
  2. Step 2: Convert to fraction form
    26,032.27/39,052.22 = 8,257/x
  3. Step 3: Cross multiply
    26,032.27x = 39,052.22 × 8,257
  4. Step 4: Simplify right side
    26,032.27x = 322,454,180.54
  5. Step 5: Solve for x
    x = 322,454,180.54/26,032.27
  6. Step 6: Final answer
    x = 12,386.71

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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.