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Finding the Fourth Proportional to 22,463.68, 33,716.27 and 11,378.16

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Solution

The fourth proportional to 22,463.68, 33,716.27 and 11,378.16 is: 17,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.68 : 33,716.27 = 11,378.16 : x
  2. Step 2: Convert to fraction form
    22,463.68/33,716.27 = 11,378.16/x
  3. Step 3: Cross multiply
    22,463.68x = 33,716.27 × 11,378.16
  4. Step 4: Simplify right side
    22,463.68x = 383,629,114.66
  5. Step 5: Solve for x
    x = 383,629,114.66/22,463.68
  6. Step 6: Final answer
    x = 17,077.75

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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.