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Finding the Fourth Proportional to 24,243.50, 33,456.44 and 15,860

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Solution

The fourth proportional to 24,243.50, 33,456.44 and 15,860 is: 21,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.50 : 33,456.44 = 15,860 : x
  2. Step 2: Convert to fraction form
    24,243.50/33,456.44 = 15,860/x
  3. Step 3: Cross multiply
    24,243.50x = 33,456.44 × 15,860
  4. Step 4: Simplify right side
    24,243.50x = 530,619,059.10
  5. Step 5: Solve for x
    x = 530,619,059.10/24,243.50
  6. Step 6: Final answer
    x = 21,887.06

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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.