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Finding the Fourth Proportional to 22,519.76, 33,771.54 and 7,724.70

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Solution

The fourth proportional to 22,519.76, 33,771.54 and 7,724.70 is: 11,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.76 : 33,771.54 = 7,724.70 : x
  2. Step 2: Convert to fraction form
    22,519.76/33,771.54 = 7,724.70/x
  3. Step 3: Cross multiply
    22,519.76x = 33,771.54 × 7,724.70
  4. Step 4: Simplify right side
    22,519.76x = 260,875,015.04
  5. Step 5: Solve for x
    x = 260,875,015.04/22,519.76
  6. Step 6: Final answer
    x = 11,584.27

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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.