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Finding the Fourth Proportional to 23,744.96, 35,605.44 and 13,887.44

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Solution

The fourth proportional to 23,744.96, 35,605.44 and 13,887.44 is: 20,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.96 : 35,605.44 = 13,887.44 : x
  2. Step 2: Convert to fraction form
    23,744.96/35,605.44 = 13,887.44/x
  3. Step 3: Cross multiply
    23,744.96x = 35,605.44 × 13,887.44
  4. Step 4: Simplify right side
    23,744.96x = 494,468,411.67
  5. Step 5: Solve for x
    x = 494,468,411.67/23,744.96
  6. Step 6: Final answer
    x = 20,824.14

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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.