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Finding the Fourth Proportional to 16,118.12, 24,214.25 and 11,449.49

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Solution

The fourth proportional to 16,118.12, 24,214.25 and 11,449.49 is: 17,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.12 : 24,214.25 = 11,449.49 : x
  2. Step 2: Convert to fraction form
    16,118.12/24,214.25 = 11,449.49/x
  3. Step 3: Cross multiply
    16,118.12x = 24,214.25 × 11,449.49
  4. Step 4: Simplify right side
    16,118.12x = 277,240,755.99
  5. Step 5: Solve for x
    x = 277,240,755.99/16,118.12
  6. Step 6: Final answer
    x = 17,200.56

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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.