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Finding the Fourth Proportional to 17,937.50, 26,906.93 and 8,083.70

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Solution

The fourth proportional to 17,937.50, 26,906.93 and 8,083.70 is: 12,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937.50 : 26,906.93 = 8,083.70 : x
  2. Step 2: Convert to fraction form
    17,937.50/26,906.93 = 8,083.70/x
  3. Step 3: Cross multiply
    17,937.50x = 26,906.93 × 8,083.70
  4. Step 4: Simplify right side
    17,937.50x = 217,507,551.77
  5. Step 5: Solve for x
    x = 217,507,551.77/17,937.50
  6. Step 6: Final answer
    x = 12,125.86

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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.