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Finding the Fourth Proportional to 26,140.96, 36,073.92 and 14,204

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Solution

The fourth proportional to 26,140.96, 36,073.92 and 14,204 is: 19,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140.96 : 36,073.92 = 14,204 : x
  2. Step 2: Convert to fraction form
    26,140.96/36,073.92 = 14,204/x
  3. Step 3: Cross multiply
    26,140.96x = 36,073.92 × 14,204
  4. Step 4: Simplify right side
    26,140.96x = 512,393,959.68
  5. Step 5: Solve for x
    x = 512,393,959.68/26,140.96
  6. Step 6: Final answer
    x = 19,601.19

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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.