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Finding the Fourth Proportional to 12,374.12, 18,564.20 and 3,609.12

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Solution

The fourth proportional to 12,374.12, 18,564.20 and 3,609.12 is: 5,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.12 : 18,564.20 = 3,609.12 : x
  2. Step 2: Convert to fraction form
    12,374.12/18,564.20 = 3,609.12/x
  3. Step 3: Cross multiply
    12,374.12x = 18,564.20 × 3,609.12
  4. Step 4: Simplify right side
    12,374.12x = 67,000,425.50
  5. Step 5: Solve for x
    x = 67,000,425.50/12,374.12
  6. Step 6: Final answer
    x = 5,414.56

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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.