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Finding the Fourth Proportional to 20,784.70, 31,177.05 and 8,306.65

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Solution

The fourth proportional to 20,784.70, 31,177.05 and 8,306.65 is: 12,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.70 : 31,177.05 = 8,306.65 : x
  2. Step 2: Convert to fraction form
    20,784.70/31,177.05 = 8,306.65/x
  3. Step 3: Cross multiply
    20,784.70x = 31,177.05 × 8,306.65
  4. Step 4: Simplify right side
    20,784.70x = 258,976,842.38
  5. Step 5: Solve for x
    x = 258,976,842.38/20,784.70
  6. Step 6: Final answer
    x = 12,459.98

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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.