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Finding the Fourth Proportional to 22,077.64, 30,467.82 and 12,006.82

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Solution

The fourth proportional to 22,077.64, 30,467.82 and 12,006.82 is: 16,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.64 : 30,467.82 = 12,006.82 : x
  2. Step 2: Convert to fraction form
    22,077.64/30,467.82 = 12,006.82/x
  3. Step 3: Cross multiply
    22,077.64x = 30,467.82 × 12,006.82
  4. Step 4: Simplify right side
    22,077.64x = 365,821,630.53
  5. Step 5: Solve for x
    x = 365,821,630.53/22,077.64
  6. Step 6: Final answer
    x = 16,569.78

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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.