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Finding the Fourth Proportional to 17,077.80, 25,616.76 and 8,305.20

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Solution

The fourth proportional to 17,077.80, 25,616.76 and 8,305.20 is: 12,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.80 : 25,616.76 = 8,305.20 : x
  2. Step 2: Convert to fraction form
    17,077.80/25,616.76 = 8,305.20/x
  3. Step 3: Cross multiply
    17,077.80x = 25,616.76 × 8,305.20
  4. Step 4: Simplify right side
    17,077.80x = 212,752,315.15
  5. Step 5: Solve for x
    x = 212,752,315.15/17,077.80
  6. Step 6: Final answer
    x = 12,457.83

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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.