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Finding the Fourth Proportional to 16,117.38, 22,241.94 and 9,043.80

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Solution

The fourth proportional to 16,117.38, 22,241.94 and 9,043.80 is: 12,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.38 : 22,241.94 = 9,043.80 : x
  2. Step 2: Convert to fraction form
    16,117.38/22,241.94 = 9,043.80/x
  3. Step 3: Cross multiply
    16,117.38x = 22,241.94 × 9,043.80
  4. Step 4: Simplify right side
    16,117.38x = 201,151,656.97
  5. Step 5: Solve for x
    x = 201,151,656.97/16,117.38
  6. Step 6: Final answer
    x = 12,480.42

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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.