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Finding the Fourth Proportional to 20,998.29, 31,498.59 and 8,516.46

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Solution

The fourth proportional to 20,998.29, 31,498.59 and 8,516.46 is: 12,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.29 : 31,498.59 = 8,516.46 : x
  2. Step 2: Convert to fraction form
    20,998.29/31,498.59 = 8,516.46/x
  3. Step 3: Cross multiply
    20,998.29x = 31,498.59 × 8,516.46
  4. Step 4: Simplify right side
    20,998.29x = 268,256,439.21
  5. Step 5: Solve for x
    x = 268,256,439.21/20,998.29
  6. Step 6: Final answer
    x = 12,775.16

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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.