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Finding the Fourth Proportional to 20,776.79, 31,182.80 and 8,305.62

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Solution

The fourth proportional to 20,776.79, 31,182.80 and 8,305.62 is: 12,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.79 : 31,182.80 = 8,305.62 : x
  2. Step 2: Convert to fraction form
    20,776.79/31,182.80 = 8,305.62/x
  3. Step 3: Cross multiply
    20,776.79x = 31,182.80 × 8,305.62
  4. Step 4: Simplify right side
    20,776.79x = 258,992,487.34
  5. Step 5: Solve for x
    x = 258,992,487.34/20,776.79
  6. Step 6: Final answer
    x = 12,465.47

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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.