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Finding the Fourth Proportional to 17,882.27, 24,671.81 and 10,327.59

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Solution

The fourth proportional to 17,882.27, 24,671.81 and 10,327.59 is: 14,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.27 : 24,671.81 = 10,327.59 : x
  2. Step 2: Convert to fraction form
    17,882.27/24,671.81 = 10,327.59/x
  3. Step 3: Cross multiply
    17,882.27x = 24,671.81 × 10,327.59
  4. Step 4: Simplify right side
    17,882.27x = 254,800,286.60
  5. Step 5: Solve for x
    x = 254,800,286.60/17,882.27
  6. Step 6: Final answer
    x = 14,248.77

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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.