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Finding the Fourth Proportional to 12,145.23, 18,229.41 and 5,908.68

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Solution

The fourth proportional to 12,145.23, 18,229.41 and 5,908.68 is: 8,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.23 : 18,229.41 = 5,908.68 : x
  2. Step 2: Convert to fraction form
    12,145.23/18,229.41 = 5,908.68/x
  3. Step 3: Cross multiply
    12,145.23x = 18,229.41 × 5,908.68
  4. Step 4: Simplify right side
    12,145.23x = 107,711,750.28
  5. Step 5: Solve for x
    x = 107,711,750.28/12,145.23
  6. Step 6: Final answer
    x = 8,868.65

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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.