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Finding the Fourth Proportional to 16,987.96, 25,496.88 and 8,229.40

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Solution

The fourth proportional to 16,987.96, 25,496.88 and 8,229.40 is: 12,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.96 : 25,496.88 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    16,987.96/25,496.88 = 8,229.40/x
  3. Step 3: Cross multiply
    16,987.96x = 25,496.88 × 8,229.40
  4. Step 4: Simplify right side
    16,987.96x = 209,824,024.27
  5. Step 5: Solve for x
    x = 209,824,024.27/16,987.96
  6. Step 6: Final answer
    x = 12,351.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.