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Finding the Fourth Proportional to 22,519.42, 33,771.03 and 7,724.50

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Solution

The fourth proportional to 22,519.42, 33,771.03 and 7,724.50 is: 11,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.42 : 33,771.03 = 7,724.50 : x
  2. Step 2: Convert to fraction form
    22,519.42/33,771.03 = 7,724.50/x
  3. Step 3: Cross multiply
    22,519.42x = 33,771.03 × 7,724.50
  4. Step 4: Simplify right side
    22,519.42x = 260,864,321.24
  5. Step 5: Solve for x
    x = 260,864,321.24/22,519.42
  6. Step 6: Final answer
    x = 11,583.97

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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.