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Finding the Fourth Proportional to 26,480.82, 39,721.35 and 8,950.74

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Solution

The fourth proportional to 26,480.82, 39,721.35 and 8,950.74 is: 13,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480.82 : 39,721.35 = 8,950.74 : x
  2. Step 2: Convert to fraction form
    26,480.82/39,721.35 = 8,950.74/x
  3. Step 3: Cross multiply
    26,480.82x = 39,721.35 × 8,950.74
  4. Step 4: Simplify right side
    26,480.82x = 355,535,476.30
  5. Step 5: Solve for x
    x = 355,535,476.30/26,480.82
  6. Step 6: Final answer
    x = 13,426.15

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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.