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Finding the Fourth Proportional to 20,687.92, 31,013.58 and 8,216.68

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Solution

The fourth proportional to 20,687.92, 31,013.58 and 8,216.68 is: 12,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.92 : 31,013.58 = 8,216.68 : x
  2. Step 2: Convert to fraction form
    20,687.92/31,013.58 = 8,216.68/x
  3. Step 3: Cross multiply
    20,687.92x = 31,013.58 × 8,216.68
  4. Step 4: Simplify right side
    20,687.92x = 254,828,662.51
  5. Step 5: Solve for x
    x = 254,828,662.51/20,687.92
  6. Step 6: Final answer
    x = 12,317.75

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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.