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Finding the Fourth Proportional to 12,618.18, 18,906.35 and 7,672.86

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Solution

The fourth proportional to 12,618.18, 18,906.35 and 7,672.86 is: 11,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.18 : 18,906.35 = 7,672.86 : x
  2. Step 2: Convert to fraction form
    12,618.18/18,906.35 = 7,672.86/x
  3. Step 3: Cross multiply
    12,618.18x = 18,906.35 × 7,672.86
  4. Step 4: Simplify right side
    12,618.18x = 145,065,738.30
  5. Step 5: Solve for x
    x = 145,065,738.30/12,618.18
  6. Step 6: Final answer
    x = 11,496.57

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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.