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Finding the Fourth Proportional to 20,592.20, 30,869.82 and 7,441.48

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Solution

The fourth proportional to 20,592.20, 30,869.82 and 7,441.48 is: 11,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.20 : 30,869.82 = 7,441.48 : x
  2. Step 2: Convert to fraction form
    20,592.20/30,869.82 = 7,441.48/x
  3. Step 3: Cross multiply
    20,592.20x = 30,869.82 × 7,441.48
  4. Step 4: Simplify right side
    20,592.20x = 229,717,148.13
  5. Step 5: Solve for x
    x = 229,717,148.13/20,592.20
  6. Step 6: Final answer
    x = 11,155.54

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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.