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Finding the Fourth Proportional to 24,226.57, 33,434.79 and 13,616.28

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Solution

The fourth proportional to 24,226.57, 33,434.79 and 13,616.28 is: 18,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.57 : 33,434.79 = 13,616.28 : x
  2. Step 2: Convert to fraction form
    24,226.57/33,434.79 = 13,616.28/x
  3. Step 3: Cross multiply
    24,226.57x = 33,434.79 × 13,616.28
  4. Step 4: Simplify right side
    24,226.57x = 455,257,462.38
  5. Step 5: Solve for x
    x = 455,257,462.38/24,226.57
  6. Step 6: Final answer
    x = 18,791.66

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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.