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Finding the Fourth Proportional to 22,014.30, 30,379.40 and 11,942.76

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Solution

The fourth proportional to 22,014.30, 30,379.40 and 11,942.76 is: 16,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.30 : 30,379.40 = 11,942.76 : x
  2. Step 2: Convert to fraction form
    22,014.30/30,379.40 = 11,942.76/x
  3. Step 3: Cross multiply
    22,014.30x = 30,379.40 × 11,942.76
  4. Step 4: Simplify right side
    22,014.30x = 362,813,883.14
  5. Step 5: Solve for x
    x = 362,813,883.14/22,014.30
  6. Step 6: Final answer
    x = 16,480.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.