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Finding the Fourth Proportional to 16,090.38, 22,203.39 and 9,015.84

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Solution

The fourth proportional to 16,090.38, 22,203.39 and 9,015.84 is: 12,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.38 : 22,203.39 = 9,015.84 : x
  2. Step 2: Convert to fraction form
    16,090.38/22,203.39 = 9,015.84/x
  3. Step 3: Cross multiply
    16,090.38x = 22,203.39 × 9,015.84
  4. Step 4: Simplify right side
    16,090.38x = 200,182,211.70
  5. Step 5: Solve for x
    x = 200,182,211.70/16,090.38
  6. Step 6: Final answer
    x = 12,441.11

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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.