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Finding the Fourth Proportional to 18,922.50, 28,358.10 and 7,229.34

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Solution

The fourth proportional to 18,922.50, 28,358.10 and 7,229.34 is: 10,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.50 : 28,358.10 = 7,229.34 : x
  2. Step 2: Convert to fraction form
    18,922.50/28,358.10 = 7,229.34/x
  3. Step 3: Cross multiply
    18,922.50x = 28,358.10 × 7,229.34
  4. Step 4: Simplify right side
    18,922.50x = 205,010,346.65
  5. Step 5: Solve for x
    x = 205,010,346.65/18,922.50
  6. Step 6: Final answer
    x = 10,834.21

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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.