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Finding the Fourth Proportional to 16,266.14, 22,439.03 and 10,287.74

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Solution

The fourth proportional to 16,266.14, 22,439.03 and 10,287.74 is: 14,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.14 : 22,439.03 = 10,287.74 : x
  2. Step 2: Convert to fraction form
    16,266.14/22,439.03 = 10,287.74/x
  3. Step 3: Cross multiply
    16,266.14x = 22,439.03 × 10,287.74
  4. Step 4: Simplify right side
    16,266.14x = 230,846,906.49
  5. Step 5: Solve for x
    x = 230,846,906.49/16,266.14
  6. Step 6: Final answer
    x = 14,191.87

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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.