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Finding the Fourth Proportional to 22,460.81, 33,691.31 and 5,819.66

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Solution

The fourth proportional to 22,460.81, 33,691.31 and 5,819.66 is: 8,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,460.81 : 33,691.31 = 5,819.66 : x
  2. Step 2: Convert to fraction form
    22,460.81/33,691.31 = 5,819.66/x
  3. Step 3: Cross multiply
    22,460.81x = 33,691.31 × 5,819.66
  4. Step 4: Simplify right side
    22,460.81x = 196,071,771.60
  5. Step 5: Solve for x
    x = 196,071,771.60/22,460.81
  6. Step 6: Final answer
    x = 8,729.51

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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.