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Finding the Fourth Proportional to 17,881.20, 26,821.80 and 4,734.90

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Solution

The fourth proportional to 17,881.20, 26,821.80 and 4,734.90 is: 7,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.20 : 26,821.80 = 4,734.90 : x
  2. Step 2: Convert to fraction form
    17,881.20/26,821.80 = 4,734.90/x
  3. Step 3: Cross multiply
    17,881.20x = 26,821.80 × 4,734.90
  4. Step 4: Simplify right side
    17,881.20x = 126,998,540.82
  5. Step 5: Solve for x
    x = 126,998,540.82/17,881.20
  6. Step 6: Final answer
    x = 7,102.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.