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Finding the Fourth Proportional to 22,297.32, 30,769.02 and 12,223.80

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Solution

The fourth proportional to 22,297.32, 30,769.02 and 12,223.80 is: 16,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.32 : 30,769.02 = 12,223.80 : x
  2. Step 2: Convert to fraction form
    22,297.32/30,769.02 = 12,223.80/x
  3. Step 3: Cross multiply
    22,297.32x = 30,769.02 × 12,223.80
  4. Step 4: Simplify right side
    22,297.32x = 376,114,346.68
  5. Step 5: Solve for x
    x = 376,114,346.68/22,297.32
  6. Step 6: Final answer
    x = 16,868.14

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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.