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Finding the Fourth Proportional to 22,796.72, 34,202.97 and 8,007.74

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Solution

The fourth proportional to 22,796.72, 34,202.97 and 8,007.74 is: 12,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.72 : 34,202.97 = 8,007.74 : x
  2. Step 2: Convert to fraction form
    22,796.72/34,202.97 = 8,007.74/x
  3. Step 3: Cross multiply
    22,796.72x = 34,202.97 × 8,007.74
  4. Step 4: Simplify right side
    22,796.72x = 273,888,319.97
  5. Step 5: Solve for x
    x = 273,888,319.97/22,796.72
  6. Step 6: Final answer
    x = 12,014.38

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1.5x scale

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.