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Finding the Fourth Proportional to 22,057.44, 30,439.14 and 11,985.84

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Solution

The fourth proportional to 22,057.44, 30,439.14 and 11,985.84 is: 16,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.44 : 30,439.14 = 11,985.84 : x
  2. Step 2: Convert to fraction form
    22,057.44/30,439.14 = 11,985.84/x
  3. Step 3: Cross multiply
    22,057.44x = 30,439.14 × 11,985.84
  4. Step 4: Simplify right side
    22,057.44x = 364,838,661.78
  5. Step 5: Solve for x
    x = 364,838,661.78/22,057.44
  6. Step 6: Final answer
    x = 16,540.39

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Why These Related Problems?

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