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Finding the Fourth Proportional to 26,138.62, 36,071.76 and 14,201.92

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Solution

The fourth proportional to 26,138.62, 36,071.76 and 14,201.92 is: 19,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.62 : 36,071.76 = 14,201.92 : x
  2. Step 2: Convert to fraction form
    26,138.62/36,071.76 = 14,201.92/x
  3. Step 3: Cross multiply
    26,138.62x = 36,071.76 × 14,201.92
  4. Step 4: Simplify right side
    26,138.62x = 512,288,249.78
  5. Step 5: Solve for x
    x = 512,288,249.78/26,138.62
  6. Step 6: Final answer
    x = 19,598.90

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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.