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Finding the Fourth Proportional to 20,915.82, 31,377.78 and 9,229.14

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Solution

The fourth proportional to 20,915.82, 31,377.78 and 9,229.14 is: 13,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.82 : 31,377.78 = 9,229.14 : x
  2. Step 2: Convert to fraction form
    20,915.82/31,377.78 = 9,229.14/x
  3. Step 3: Cross multiply
    20,915.82x = 31,377.78 × 9,229.14
  4. Step 4: Simplify right side
    20,915.82x = 289,589,924.51
  5. Step 5: Solve for x
    x = 289,589,924.51/20,915.82
  6. Step 6: Final answer
    x = 13,845.50

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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.