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Finding the Fourth Proportional to 26,149.86, 36,086.86 and 14,213.17

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Solution

The fourth proportional to 26,149.86, 36,086.86 and 14,213.17 is: 19,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.86 : 36,086.86 = 14,213.17 : x
  2. Step 2: Convert to fraction form
    26,149.86/36,086.86 = 14,213.17/x
  3. Step 3: Cross multiply
    26,149.86x = 36,086.86 × 14,213.17
  4. Step 4: Simplify right side
    26,149.86x = 512,908,523.55
  5. Step 5: Solve for x
    x = 512,908,523.55/26,149.86
  6. Step 6: Final answer
    x = 19,614.20

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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.