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Finding the Fourth Proportional to 20,686.86, 31,012.74 and 8,215.65

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Solution

The fourth proportional to 20,686.86, 31,012.74 and 8,215.65 is: 12,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.86 : 31,012.74 = 8,215.65 : x
  2. Step 2: Convert to fraction form
    20,686.86/31,012.74 = 8,215.65/x
  3. Step 3: Cross multiply
    20,686.86x = 31,012.74 × 8,215.65
  4. Step 4: Simplify right side
    20,686.86x = 254,789,817.38
  5. Step 5: Solve for x
    x = 254,789,817.38/20,686.86
  6. Step 6: Final answer
    x = 12,316.51

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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.