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Finding the Fourth Proportional to 22,057.68, 30,439.68 and 11,986.20

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Solution

The fourth proportional to 22,057.68, 30,439.68 and 11,986.20 is: 16,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.68 : 30,439.68 = 11,986.20 : x
  2. Step 2: Convert to fraction form
    22,057.68/30,439.68 = 11,986.20/x
  3. Step 3: Cross multiply
    22,057.68x = 30,439.68 × 11,986.20
  4. Step 4: Simplify right side
    22,057.68x = 364,856,092.42
  5. Step 5: Solve for x
    x = 364,856,092.42/22,057.68
  6. Step 6: Final answer
    x = 16,541.00

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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.