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Finding the Fourth Proportional to 22,077.68, 30,467.28 and 12,006.12

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Solution

The fourth proportional to 22,077.68, 30,467.28 and 12,006.12 is: 16,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.68 : 30,467.28 = 12,006.12 : x
  2. Step 2: Convert to fraction form
    22,077.68/30,467.28 = 12,006.12/x
  3. Step 3: Cross multiply
    22,077.68x = 30,467.28 × 12,006.12
  4. Step 4: Simplify right side
    22,077.68x = 365,793,819.75
  5. Step 5: Solve for x
    x = 365,793,819.75/22,077.68
  6. Step 6: Final answer
    x = 16,568.49

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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.