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Finding the Fourth Proportional to 26,370.32, 39,551.16 and 7,898

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Solution

The fourth proportional to 26,370.32, 39,551.16 and 7,898 is: 11,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,370.32 : 39,551.16 = 7,898 : x
  2. Step 2: Convert to fraction form
    26,370.32/39,551.16 = 7,898/x
  3. Step 3: Cross multiply
    26,370.32x = 39,551.16 × 7,898
  4. Step 4: Simplify right side
    26,370.32x = 312,375,061.68
  5. Step 5: Solve for x
    x = 312,375,061.68/26,370.32
  6. Step 6: Final answer
    x = 11,845.71

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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.