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Finding the Fourth Proportional to 12,120, 18,182.88 and 3,912

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Solution

The fourth proportional to 12,120, 18,182.88 and 3,912 is: 5,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120 : 18,182.88 = 3,912 : x
  2. Step 2: Convert to fraction form
    12,120/18,182.88 = 3,912/x
  3. Step 3: Cross multiply
    12,120x = 18,182.88 × 3,912
  4. Step 4: Simplify right side
    12,120x = 71,131,426.56
  5. Step 5: Solve for x
    x = 71,131,426.56/12,120
  6. Step 6: Final answer
    x = 5,868.93

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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.