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Finding the Fourth Proportional to 20,688.92, 31,015.08 and 8,217.68

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Solution

The fourth proportional to 20,688.92, 31,015.08 and 8,217.68 is: 12,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688.92 : 31,015.08 = 8,217.68 : x
  2. Step 2: Convert to fraction form
    20,688.92/31,015.08 = 8,217.68/x
  3. Step 3: Cross multiply
    20,688.92x = 31,015.08 × 8,217.68
  4. Step 4: Simplify right side
    20,688.92x = 254,872,002.61
  5. Step 5: Solve for x
    x = 254,872,002.61/20,688.92
  6. Step 6: Final answer
    x = 12,319.25

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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.