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Finding the Fourth Proportional to 27,723.78, 38,213.82 and 21,663.42

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Solution

The fourth proportional to 27,723.78, 38,213.82 and 21,663.42 is: 29,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.78 : 38,213.82 = 21,663.42 : x
  2. Step 2: Convert to fraction form
    27,723.78/38,213.82 = 21,663.42/x
  3. Step 3: Cross multiply
    27,723.78x = 38,213.82 × 21,663.42
  4. Step 4: Simplify right side
    27,723.78x = 827,842,032.46
  5. Step 5: Solve for x
    x = 827,842,032.46/27,723.78
  6. Step 6: Final answer
    x = 29,860.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.