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Finding the Fourth Proportional to 12,157.34, 18,229.05 and 7,230.42

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Solution

The fourth proportional to 12,157.34, 18,229.05 and 7,230.42 is: 10,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.34 : 18,229.05 = 7,230.42 : x
  2. Step 2: Convert to fraction form
    12,157.34/18,229.05 = 7,230.42/x
  3. Step 3: Cross multiply
    12,157.34x = 18,229.05 × 7,230.42
  4. Step 4: Simplify right side
    12,157.34x = 131,803,687.70
  5. Step 5: Solve for x
    x = 131,803,687.70/12,157.34
  6. Step 6: Final answer
    x = 10,841.50

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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.