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Finding the Fourth Proportional to 21,942, 30,279.98 and 12,006

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Solution

The fourth proportional to 21,942, 30,279.98 and 12,006 is: 16,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 30,279.98 = 12,006 : x
  2. Step 2: Convert to fraction form
    21,942/30,279.98 = 12,006/x
  3. Step 3: Cross multiply
    21,942x = 30,279.98 × 12,006
  4. Step 4: Simplify right side
    21,942x = 363,541,439.88
  5. Step 5: Solve for x
    x = 363,541,439.88/21,942
  6. Step 6: Final answer
    x = 16,568.29

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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.