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Finding the Fourth Proportional to 20,709.61, 31,064.49 and 8,228.83

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Solution

The fourth proportional to 20,709.61, 31,064.49 and 8,228.83 is: 12,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.61 : 31,064.49 = 8,228.83 : x
  2. Step 2: Convert to fraction form
    20,709.61/31,064.49 = 8,228.83/x
  3. Step 3: Cross multiply
    20,709.61x = 31,064.49 × 8,228.83
  4. Step 4: Simplify right side
    20,709.61x = 255,624,407.25
  5. Step 5: Solve for x
    x = 255,624,407.25/20,709.61
  6. Step 6: Final answer
    x = 12,343.27

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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.