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Finding the Fourth Proportional to 26,141.87, 39,211.47 and 8,129.94

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Solution

The fourth proportional to 26,141.87, 39,211.47 and 8,129.94 is: 12,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,141.87 : 39,211.47 = 8,129.94 : x
  2. Step 2: Convert to fraction form
    26,141.87/39,211.47 = 8,129.94/x
  3. Step 3: Cross multiply
    26,141.87x = 39,211.47 × 8,129.94
  4. Step 4: Simplify right side
    26,141.87x = 318,786,898.41
  5. Step 5: Solve for x
    x = 318,786,898.41/26,141.87
  6. Step 6: Final answer
    x = 12,194.50

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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.