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Finding the Fourth Proportional to 26,215.84, 39,323.67 and 10,633.42

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Solution

The fourth proportional to 26,215.84, 39,323.67 and 10,633.42 is: 15,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,215.84 : 39,323.67 = 10,633.42 : x
  2. Step 2: Convert to fraction form
    26,215.84/39,323.67 = 10,633.42/x
  3. Step 3: Cross multiply
    26,215.84x = 39,323.67 × 10,633.42
  4. Step 4: Simplify right side
    26,215.84x = 418,145,099.05
  5. Step 5: Solve for x
    x = 418,145,099.05/26,215.84
  6. Step 6: Final answer
    x = 15,950.09

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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.