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Finding the Fourth Proportional to 14,616.41, 20,171.10 and 8,328.38

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Solution

The fourth proportional to 14,616.41, 20,171.10 and 8,328.38 is: 11,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.41 : 20,171.10 = 8,328.38 : x
  2. Step 2: Convert to fraction form
    14,616.41/20,171.10 = 8,328.38/x
  3. Step 3: Cross multiply
    14,616.41x = 20,171.10 × 8,328.38
  4. Step 4: Simplify right side
    14,616.41x = 167,992,585.82
  5. Step 5: Solve for x
    x = 167,992,585.82/14,616.41
  6. Step 6: Final answer
    x = 11,493.42

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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.