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Finding the Fourth Proportional to 22,251.68, 30,642 and 19,892.96

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Solution

The fourth proportional to 22,251.68, 30,642 and 19,892.96 is: 27,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.68 : 30,642 = 19,892.96 : x
  2. Step 2: Convert to fraction form
    22,251.68/30,642 = 19,892.96/x
  3. Step 3: Cross multiply
    22,251.68x = 30,642 × 19,892.96
  4. Step 4: Simplify right side
    22,251.68x = 609,560,080.32
  5. Step 5: Solve for x
    x = 609,560,080.32/22,251.68
  6. Step 6: Final answer
    x = 27,393.89

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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.