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Finding the Fourth Proportional to 20,688.36, 31,014.98 and 8,217.16

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Solution

The fourth proportional to 20,688.36, 31,014.98 and 8,217.16 is: 12,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688.36 : 31,014.98 = 8,217.16 : x
  2. Step 2: Convert to fraction form
    20,688.36/31,014.98 = 8,217.16/x
  3. Step 3: Cross multiply
    20,688.36x = 31,014.98 × 8,217.16
  4. Step 4: Simplify right side
    20,688.36x = 254,855,053.06
  5. Step 5: Solve for x
    x = 254,855,053.06/20,688.36
  6. Step 6: Final answer
    x = 12,318.77

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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.