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Finding the Fourth Proportional to 21,486.77, 32,239.82 and 11,614.49

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Solution

The fourth proportional to 21,486.77, 32,239.82 and 11,614.49 is: 17,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.77 : 32,239.82 = 11,614.49 : x
  2. Step 2: Convert to fraction form
    21,486.77/32,239.82 = 11,614.49/x
  3. Step 3: Cross multiply
    21,486.77x = 32,239.82 × 11,614.49
  4. Step 4: Simplify right side
    21,486.77x = 374,449,055.73
  5. Step 5: Solve for x
    x = 374,449,055.73/21,486.77
  6. Step 6: Final answer
    x = 17,426.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.