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Finding the Fourth Proportional to 22,337.12, 30,824.01 and 12,266.88

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Solution

The fourth proportional to 22,337.12, 30,824.01 and 12,266.88 is: 16,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.12 : 30,824.01 = 12,266.88 : x
  2. Step 2: Convert to fraction form
    22,337.12/30,824.01 = 12,266.88/x
  3. Step 3: Cross multiply
    22,337.12x = 30,824.01 × 12,266.88
  4. Step 4: Simplify right side
    22,337.12x = 378,114,431.79
  5. Step 5: Solve for x
    x = 378,114,431.79/22,337.12
  6. Step 6: Final answer
    x = 16,927.63

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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.