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Finding the Fourth Proportional to 15,736.96, 21,717.44 and 8,663.82

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Solution

The fourth proportional to 15,736.96, 21,717.44 and 8,663.82 is: 11,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.96 : 21,717.44 = 8,663.82 : x
  2. Step 2: Convert to fraction form
    15,736.96/21,717.44 = 8,663.82/x
  3. Step 3: Cross multiply
    15,736.96x = 21,717.44 × 8,663.82
  4. Step 4: Simplify right side
    15,736.96x = 188,155,991.02
  5. Step 5: Solve for x
    x = 188,155,991.02/15,736.96
  6. Step 6: Final answer
    x = 11,956.31

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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.