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Finding the Fourth Proportional to 20,776.29, 31,182.05 and 8,305.12

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Solution

The fourth proportional to 20,776.29, 31,182.05 and 8,305.12 is: 12,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.29 : 31,182.05 = 8,305.12 : x
  2. Step 2: Convert to fraction form
    20,776.29/31,182.05 = 8,305.12/x
  3. Step 3: Cross multiply
    20,776.29x = 31,182.05 × 8,305.12
  4. Step 4: Simplify right side
    20,776.29x = 258,970,667.10
  5. Step 5: Solve for x
    x = 258,970,667.10/20,776.29
  6. Step 6: Final answer
    x = 12,464.72

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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.