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Finding the Fourth Proportional to 12,118.58, 18,148.70 and 8,211.14

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Solution

The fourth proportional to 12,118.58, 18,148.70 and 8,211.14 is: 12,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.58 : 18,148.70 = 8,211.14 : x
  2. Step 2: Convert to fraction form
    12,118.58/18,148.70 = 8,211.14/x
  3. Step 3: Cross multiply
    12,118.58x = 18,148.70 × 8,211.14
  4. Step 4: Simplify right side
    12,118.58x = 149,021,516.52
  5. Step 5: Solve for x
    x = 149,021,516.52/12,118.58
  6. Step 6: Final answer
    x = 12,296.95

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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.