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Finding the Fourth Proportional to 22,296.74, 30,769.89 and 12,865.64

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Solution

The fourth proportional to 22,296.74, 30,769.89 and 12,865.64 is: 17,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.74 : 30,769.89 = 12,865.64 : x
  2. Step 2: Convert to fraction form
    22,296.74/30,769.89 = 12,865.64/x
  3. Step 3: Cross multiply
    22,296.74x = 30,769.89 × 12,865.64
  4. Step 4: Simplify right side
    22,296.74x = 395,874,327.58
  5. Step 5: Solve for x
    x = 395,874,327.58/22,296.74
  6. Step 6: Final answer
    x = 17,754.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.