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Finding the Fourth Proportional to 26,150.10, 36,086.67 and 14,213.40

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Solution

The fourth proportional to 26,150.10, 36,086.67 and 14,213.40 is: 19,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150.10 : 36,086.67 = 14,213.40 : x
  2. Step 2: Convert to fraction form
    26,150.10/36,086.67 = 14,213.40/x
  3. Step 3: Cross multiply
    26,150.10x = 36,086.67 × 14,213.40
  4. Step 4: Simplify right side
    26,150.10x = 512,914,275.38
  5. Step 5: Solve for x
    x = 512,914,275.38/26,150.10
  6. Step 6: Final answer
    x = 19,614.24

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Why These Related Problems?

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