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Finding the Fourth Proportional to 22,667.79, 33,982.25 and 7,867.47

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Solution

The fourth proportional to 22,667.79, 33,982.25 and 7,867.47 is: 11,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.79 : 33,982.25 = 7,867.47 : x
  2. Step 2: Convert to fraction form
    22,667.79/33,982.25 = 7,867.47/x
  3. Step 3: Cross multiply
    22,667.79x = 33,982.25 × 7,867.47
  4. Step 4: Simplify right side
    22,667.79x = 267,354,293.07
  5. Step 5: Solve for x
    x = 267,354,293.07/22,667.79
  6. Step 6: Final answer
    x = 11,794.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.