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Finding the Fourth Proportional to 22,282.42, 30,748.38 and 12,723.42

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Solution

The fourth proportional to 22,282.42, 30,748.38 and 12,723.42 is: 17,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.42 : 30,748.38 = 12,723.42 : x
  2. Step 2: Convert to fraction form
    22,282.42/30,748.38 = 12,723.42/x
  3. Step 3: Cross multiply
    22,282.42x = 30,748.38 × 12,723.42
  4. Step 4: Simplify right side
    22,282.42x = 391,224,553.06
  5. Step 5: Solve for x
    x = 391,224,553.06/22,282.42
  6. Step 6: Final answer
    x = 17,557.54

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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.