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Finding the Fourth Proportional to 22,337.68, 30,824.22 and 12,266.10

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Solution

The fourth proportional to 22,337.68, 30,824.22 and 12,266.10 is: 16,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.68 : 30,824.22 = 12,266.10 : x
  2. Step 2: Convert to fraction form
    22,337.68/30,824.22 = 12,266.10/x
  3. Step 3: Cross multiply
    22,337.68x = 30,824.22 × 12,266.10
  4. Step 4: Simplify right side
    22,337.68x = 378,092,964.94
  5. Step 5: Solve for x
    x = 378,092,964.94/22,337.68
  6. Step 6: Final answer
    x = 16,926.24

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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.