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Finding the Fourth Proportional to 22,662, 33,984.76 and 7,866.96

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Solution

The fourth proportional to 22,662, 33,984.76 and 7,866.96 is: 11,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 33,984.76 = 7,866.96 : x
  2. Step 2: Convert to fraction form
    22,662/33,984.76 = 7,866.96/x
  3. Step 3: Cross multiply
    22,662x = 33,984.76 × 7,866.96
  4. Step 4: Simplify right side
    22,662x = 267,356,747.53
  5. Step 5: Solve for x
    x = 267,356,747.53/22,662
  6. Step 6: Final answer
    x = 11,797.58

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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.