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Finding the Fourth Proportional to 12,008.38, 18,012.34 and 5,429.97

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Solution

The fourth proportional to 12,008.38, 18,012.34 and 5,429.97 is: 8,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.38 : 18,012.34 = 5,429.97 : x
  2. Step 2: Convert to fraction form
    12,008.38/18,012.34 = 5,429.97/x
  3. Step 3: Cross multiply
    12,008.38x = 18,012.34 × 5,429.97
  4. Step 4: Simplify right side
    12,008.38x = 97,806,465.83
  5. Step 5: Solve for x
    x = 97,806,465.83/12,008.38
  6. Step 6: Final answer
    x = 8,144.85

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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.