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Finding the Fourth Proportional to 22,461.28, 33,692 and 6,878.84

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Solution

The fourth proportional to 22,461.28, 33,692 and 6,878.84 is: 10,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.28 : 33,692 = 6,878.84 : x
  2. Step 2: Convert to fraction form
    22,461.28/33,692 = 6,878.84/x
  3. Step 3: Cross multiply
    22,461.28x = 33,692 × 6,878.84
  4. Step 4: Simplify right side
    22,461.28x = 231,761,877.28
  5. Step 5: Solve for x
    x = 231,761,877.28/22,461.28
  6. Step 6: Final answer
    x = 10,318.28

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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.