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Finding the Fourth Proportional to 26,302.41, 39,451.46 and 7,834.41

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Solution

The fourth proportional to 26,302.41, 39,451.46 and 7,834.41 is: 11,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.41 : 39,451.46 = 7,834.41 : x
  2. Step 2: Convert to fraction form
    26,302.41/39,451.46 = 7,834.41/x
  3. Step 3: Cross multiply
    26,302.41x = 39,451.46 × 7,834.41
  4. Step 4: Simplify right side
    26,302.41x = 309,078,873.57
  5. Step 5: Solve for x
    x = 309,078,873.57/26,302.41
  6. Step 6: Final answer
    x = 11,750.97

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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.