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Finding the Fourth Proportional to 12,209.58, 18,299.70 and 4,414.14

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Solution

The fourth proportional to 12,209.58, 18,299.70 and 4,414.14 is: 6,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.58 : 18,299.70 = 4,414.14 : x
  2. Step 2: Convert to fraction form
    12,209.58/18,299.70 = 4,414.14/x
  3. Step 3: Cross multiply
    12,209.58x = 18,299.70 × 4,414.14
  4. Step 4: Simplify right side
    12,209.58x = 80,777,437.76
  5. Step 5: Solve for x
    x = 80,777,437.76/12,209.58
  6. Step 6: Final answer
    x = 6,615.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.