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Finding the Fourth Proportional to 12,106.65, 18,134.46 and 5,538.36

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Solution

The fourth proportional to 12,106.65, 18,134.46 and 5,538.36 is: 8,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.65 : 18,134.46 = 5,538.36 : x
  2. Step 2: Convert to fraction form
    12,106.65/18,134.46 = 5,538.36/x
  3. Step 3: Cross multiply
    12,106.65x = 18,134.46 × 5,538.36
  4. Step 4: Simplify right side
    12,106.65x = 100,435,167.89
  5. Step 5: Solve for x
    x = 100,435,167.89/12,106.65
  6. Step 6: Final answer
    x = 8,295.87

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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.