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Finding the Fourth Proportional to 22,655.34, 33,984.78 and 6,015

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Solution

The fourth proportional to 22,655.34, 33,984.78 and 6,015 is: 9,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.34 : 33,984.78 = 6,015 : x
  2. Step 2: Convert to fraction form
    22,655.34/33,984.78 = 6,015/x
  3. Step 3: Cross multiply
    22,655.34x = 33,984.78 × 6,015
  4. Step 4: Simplify right side
    22,655.34x = 204,418,451.70
  5. Step 5: Solve for x
    x = 204,418,451.70/22,655.34
  6. Step 6: Final answer
    x = 9,022.97

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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.