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Finding the Fourth Proportional to 26,384, 36,404.10 and 16,177.22

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Solution

The fourth proportional to 26,384, 36,404.10 and 16,177.22 is: 22,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 36,404.10 = 16,177.22 : x
  2. Step 2: Convert to fraction form
    26,384/36,404.10 = 16,177.22/x
  3. Step 3: Cross multiply
    26,384x = 36,404.10 × 16,177.22
  4. Step 4: Simplify right side
    26,384x = 588,917,134.60
  5. Step 5: Solve for x
    x = 588,917,134.60/26,384
  6. Step 6: Final answer
    x = 22,321.00

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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.