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Finding the Fourth Proportional to 27,663.31, 38,178.60 and 15,728.44

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Solution

The fourth proportional to 27,663.31, 38,178.60 and 15,728.44 is: 21,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.31 : 38,178.60 = 15,728.44 : x
  2. Step 2: Convert to fraction form
    27,663.31/38,178.60 = 15,728.44/x
  3. Step 3: Cross multiply
    27,663.31x = 38,178.60 × 15,728.44
  4. Step 4: Simplify right side
    27,663.31x = 600,489,549.85
  5. Step 5: Solve for x
    x = 600,489,549.85/27,663.31
  6. Step 6: Final answer
    x = 21,707.08

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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.