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Finding the Fourth Proportional to 16,645.64, 22,936.38 and 11,331.24

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Solution

The fourth proportional to 16,645.64, 22,936.38 and 11,331.24 is: 15,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.64 : 22,936.38 = 11,331.24 : x
  2. Step 2: Convert to fraction form
    16,645.64/22,936.38 = 11,331.24/x
  3. Step 3: Cross multiply
    16,645.64x = 22,936.38 × 11,331.24
  4. Step 4: Simplify right side
    16,645.64x = 259,897,626.51
  5. Step 5: Solve for x
    x = 259,897,626.51/16,645.64
  6. Step 6: Final answer
    x = 15,613.56

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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.