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Finding the Fourth Proportional to 21,976.68, 30,324.06 and 12,412.20

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Solution

The fourth proportional to 21,976.68, 30,324.06 and 12,412.20 is: 17,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.68 : 30,324.06 = 12,412.20 : x
  2. Step 2: Convert to fraction form
    21,976.68/30,324.06 = 12,412.20/x
  3. Step 3: Cross multiply
    21,976.68x = 30,324.06 × 12,412.20
  4. Step 4: Simplify right side
    21,976.68x = 376,388,297.53
  5. Step 5: Solve for x
    x = 376,388,297.53/21,976.68
  6. Step 6: Final answer
    x = 17,126.71

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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.