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Finding the Fourth Proportional to 17,767.40, 24,520.20 and 10,216.22

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Solution

The fourth proportional to 17,767.40, 24,520.20 and 10,216.22 is: 14,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.40 : 24,520.20 = 10,216.22 : x
  2. Step 2: Convert to fraction form
    17,767.40/24,520.20 = 10,216.22/x
  3. Step 3: Cross multiply
    17,767.40x = 24,520.20 × 10,216.22
  4. Step 4: Simplify right side
    17,767.40x = 250,503,757.64
  5. Step 5: Solve for x
    x = 250,503,757.64/17,767.40
  6. Step 6: Final answer
    x = 14,099.07

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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.