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Finding the Fourth Proportional to 12,151.70, 18,227.55 and 8,234.90

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Solution

The fourth proportional to 12,151.70, 18,227.55 and 8,234.90 is: 12,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.70 : 18,227.55 = 8,234.90 : x
  2. Step 2: Convert to fraction form
    12,151.70/18,227.55 = 8,234.90/x
  3. Step 3: Cross multiply
    12,151.70x = 18,227.55 × 8,234.90
  4. Step 4: Simplify right side
    12,151.70x = 150,102,051.50
  5. Step 5: Solve for x
    x = 150,102,051.50/12,151.70
  6. Step 6: Final answer
    x = 12,352.35

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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.