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Finding the Fourth Proportional to 15,179.29, 22,770.85 and 8,149.65

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Solution

The fourth proportional to 15,179.29, 22,770.85 and 8,149.65 is: 12,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,179.29 : 22,770.85 = 8,149.65 : x
  2. Step 2: Convert to fraction form
    15,179.29/22,770.85 = 8,149.65/x
  3. Step 3: Cross multiply
    15,179.29x = 22,770.85 × 8,149.65
  4. Step 4: Simplify right side
    15,179.29x = 185,574,303.10
  5. Step 5: Solve for x
    x = 185,574,303.10/15,179.29
  6. Step 6: Final answer
    x = 12,225.49

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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.