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Finding the Fourth Proportional to 22,331.64, 30,816.46 and 12,395

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Solution

The fourth proportional to 22,331.64, 30,816.46 and 12,395 is: 17,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.64 : 30,816.46 = 12,395 : x
  2. Step 2: Convert to fraction form
    22,331.64/30,816.46 = 12,395/x
  3. Step 3: Cross multiply
    22,331.64x = 30,816.46 × 12,395
  4. Step 4: Simplify right side
    22,331.64x = 381,970,021.70
  5. Step 5: Solve for x
    x = 381,970,021.70/22,331.64
  6. Step 6: Final answer
    x = 17,104.43

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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.