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Finding the Fourth Proportional to 12,438.60, 18,658.06 and 3,673.64

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Solution

The fourth proportional to 12,438.60, 18,658.06 and 3,673.64 is: 5,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.60 : 18,658.06 = 3,673.64 : x
  2. Step 2: Convert to fraction form
    12,438.60/18,658.06 = 3,673.64/x
  3. Step 3: Cross multiply
    12,438.60x = 18,658.06 × 3,673.64
  4. Step 4: Simplify right side
    12,438.60x = 68,542,995.54
  5. Step 5: Solve for x
    x = 68,542,995.54/12,438.60
  6. Step 6: Final answer
    x = 5,510.51

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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.