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Finding the Fourth Proportional to 26,920.80, 37,150.38 and 15,742.80

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Solution

The fourth proportional to 26,920.80, 37,150.38 and 15,742.80 is: 21,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920.80 : 37,150.38 = 15,742.80 : x
  2. Step 2: Convert to fraction form
    26,920.80/37,150.38 = 15,742.80/x
  3. Step 3: Cross multiply
    26,920.80x = 37,150.38 × 15,742.80
  4. Step 4: Simplify right side
    26,920.80x = 584,851,002.26
  5. Step 5: Solve for x
    x = 584,851,002.26/26,920.80
  6. Step 6: Final answer
    x = 21,724.87

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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.