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Finding the Fourth Proportional to 24,971.80, 34,468.32 and 16,480.12

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Solution

The fourth proportional to 24,971.80, 34,468.32 and 16,480.12 is: 22,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.80 : 34,468.32 = 16,480.12 : x
  2. Step 2: Convert to fraction form
    24,971.80/34,468.32 = 16,480.12/x
  3. Step 3: Cross multiply
    24,971.80x = 34,468.32 × 16,480.12
  4. Step 4: Simplify right side
    24,971.80x = 568,042,049.80
  5. Step 5: Solve for x
    x = 568,042,049.80/24,971.80
  6. Step 6: Final answer
    x = 22,747.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.