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Finding the Fourth Proportional to 12,438.76, 18,657.92 and 3,078.76

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Solution

The fourth proportional to 12,438.76, 18,657.92 and 3,078.76 is: 4,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.76 : 18,657.92 = 3,078.76 : x
  2. Step 2: Convert to fraction form
    12,438.76/18,657.92 = 3,078.76/x
  3. Step 3: Cross multiply
    12,438.76x = 18,657.92 × 3,078.76
  4. Step 4: Simplify right side
    12,438.76x = 57,443,257.78
  5. Step 5: Solve for x
    x = 57,443,257.78/12,438.76
  6. Step 6: Final answer
    x = 4,618.09

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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.