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Finding the Fourth Proportional to 26,805.60, 36,986.12 and 16,193.20

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Solution

The fourth proportional to 26,805.60, 36,986.12 and 16,193.20 is: 22,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.60 : 36,986.12 = 16,193.20 : x
  2. Step 2: Convert to fraction form
    26,805.60/36,986.12 = 16,193.20/x
  3. Step 3: Cross multiply
    26,805.60x = 36,986.12 × 16,193.20
  4. Step 4: Simplify right side
    26,805.60x = 598,923,638.38
  5. Step 5: Solve for x
    x = 598,923,638.38/26,805.60
  6. Step 6: Final answer
    x = 22,343.23

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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.