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Finding the Fourth Proportional to 22,263, 30,722.94 and 12,327

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Solution

The fourth proportional to 22,263, 30,722.94 and 12,327 is: 17,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263 : 30,722.94 = 12,327 : x
  2. Step 2: Convert to fraction form
    22,263/30,722.94 = 12,327/x
  3. Step 3: Cross multiply
    22,263x = 30,722.94 × 12,327
  4. Step 4: Simplify right side
    22,263x = 378,721,681.38
  5. Step 5: Solve for x
    x = 378,721,681.38/22,263
  6. Step 6: Final answer
    x = 17,011.26

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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.