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Finding the Fourth Proportional to 12,112.65, 18,171.49 and 5,088.53

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Solution

The fourth proportional to 12,112.65, 18,171.49 and 5,088.53 is: 7,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.65 : 18,171.49 = 5,088.53 : x
  2. Step 2: Convert to fraction form
    12,112.65/18,171.49 = 5,088.53/x
  3. Step 3: Cross multiply
    12,112.65x = 18,171.49 × 5,088.53
  4. Step 4: Simplify right side
    12,112.65x = 92,466,204.72
  5. Step 5: Solve for x
    x = 92,466,204.72/12,112.65
  6. Step 6: Final answer
    x = 7,633.85

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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.