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Finding the Fourth Proportional to 26,228, 36,194.64 and 14,452

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Solution

The fourth proportional to 26,228, 36,194.64 and 14,452 is: 19,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228 : 36,194.64 = 14,452 : x
  2. Step 2: Convert to fraction form
    26,228/36,194.64 = 14,452/x
  3. Step 3: Cross multiply
    26,228x = 36,194.64 × 14,452
  4. Step 4: Simplify right side
    26,228x = 523,084,937.28
  5. Step 5: Solve for x
    x = 523,084,937.28/26,228
  6. Step 6: Final answer
    x = 19,943.76

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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.