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Finding the Fourth Proportional to 22,056, 33,062.12 and 12,199.92

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Solution

The fourth proportional to 22,056, 33,062.12 and 12,199.92 is: 18,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056 : 33,062.12 = 12,199.92 : x
  2. Step 2: Convert to fraction form
    22,056/33,062.12 = 12,199.92/x
  3. Step 3: Cross multiply
    22,056x = 33,062.12 × 12,199.92
  4. Step 4: Simplify right side
    22,056x = 403,355,219.03
  5. Step 5: Solve for x
    x = 403,355,219.03/22,056
  6. Step 6: Final answer
    x = 18,287.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.