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Finding the Fourth Proportional to 22,314.33, 33,480.95 and 11,215.17

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Solution

The fourth proportional to 22,314.33, 33,480.95 and 11,215.17 is: 16,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.33 : 33,480.95 = 11,215.17 : x
  2. Step 2: Convert to fraction form
    22,314.33/33,480.95 = 11,215.17/x
  3. Step 3: Cross multiply
    22,314.33x = 33,480.95 × 11,215.17
  4. Step 4: Simplify right side
    22,314.33x = 375,494,489.94
  5. Step 5: Solve for x
    x = 375,494,489.94/22,314.33
  6. Step 6: Final answer
    x = 16,827.50

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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.