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Finding the Fourth Proportional to 26,169.26, 36,114.26 and 14,233.30

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Solution

The fourth proportional to 26,169.26, 36,114.26 and 14,233.30 is: 19,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.26 : 36,114.26 = 14,233.30 : x
  2. Step 2: Convert to fraction form
    26,169.26/36,114.26 = 14,233.30/x
  3. Step 3: Cross multiply
    26,169.26x = 36,114.26 × 14,233.30
  4. Step 4: Simplify right side
    26,169.26x = 514,025,096.86
  5. Step 5: Solve for x
    x = 514,025,096.86/26,169.26
  6. Step 6: Final answer
    x = 19,642.32

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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.