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Finding the Fourth Proportional to 16,218.36, 22,381.04 and 9,144.78

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Solution

The fourth proportional to 16,218.36, 22,381.04 and 9,144.78 is: 12,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.36 : 22,381.04 = 9,144.78 : x
  2. Step 2: Convert to fraction form
    16,218.36/22,381.04 = 9,144.78/x
  3. Step 3: Cross multiply
    16,218.36x = 22,381.04 × 9,144.78
  4. Step 4: Simplify right side
    16,218.36x = 204,669,686.97
  5. Step 5: Solve for x
    x = 204,669,686.97/16,218.36
  6. Step 6: Final answer
    x = 12,619.63

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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.