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Finding the Fourth Proportional to 17,478.75, 24,116.49 and 10,209.72

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Solution

The fourth proportional to 17,478.75, 24,116.49 and 10,209.72 is: 14,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.75 : 24,116.49 = 10,209.72 : x
  2. Step 2: Convert to fraction form
    17,478.75/24,116.49 = 10,209.72/x
  3. Step 3: Cross multiply
    17,478.75x = 24,116.49 × 10,209.72
  4. Step 4: Simplify right side
    17,478.75x = 246,222,610.28
  5. Step 5: Solve for x
    x = 246,222,610.28/17,478.75
  6. Step 6: Final answer
    x = 14,086.97

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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.