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Finding the Fourth Proportional to 17,874.31, 26,794.02 and 8,511.81

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Solution

The fourth proportional to 17,874.31, 26,794.02 and 8,511.81 is: 12,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.31 : 26,794.02 = 8,511.81 : x
  2. Step 2: Convert to fraction form
    17,874.31/26,794.02 = 8,511.81/x
  3. Step 3: Cross multiply
    17,874.31x = 26,794.02 × 8,511.81
  4. Step 4: Simplify right side
    17,874.31x = 228,065,607.38
  5. Step 5: Solve for x
    x = 228,065,607.38/17,874.31
  6. Step 6: Final answer
    x = 12,759.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.