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Finding the Fourth Proportional to 26,324.92, 36,338.46 and 16,255

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Solution

The fourth proportional to 26,324.92, 36,338.46 and 16,255 is: 22,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324.92 : 36,338.46 = 16,255 : x
  2. Step 2: Convert to fraction form
    26,324.92/36,338.46 = 16,255/x
  3. Step 3: Cross multiply
    26,324.92x = 36,338.46 × 16,255
  4. Step 4: Simplify right side
    26,324.92x = 590,681,667.30
  5. Step 5: Solve for x
    x = 590,681,667.30/26,324.92
  6. Step 6: Final answer
    x = 22,438.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.