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Finding the Fourth Proportional to 26,149.80, 36,086.53 and 14,213.22

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Solution

The fourth proportional to 26,149.80, 36,086.53 and 14,213.22 is: 19,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.80 : 36,086.53 = 14,213.22 : x
  2. Step 2: Convert to fraction form
    26,149.80/36,086.53 = 14,213.22/x
  3. Step 3: Cross multiply
    26,149.80x = 36,086.53 × 14,213.22
  4. Step 4: Simplify right side
    26,149.80x = 512,905,788.74
  5. Step 5: Solve for x
    x = 512,905,788.74/26,149.80
  6. Step 6: Final answer
    x = 19,614.14

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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.