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Finding the Fourth Proportional to 22,832.30, 34,247.97 and 10,520.30

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Solution

The fourth proportional to 22,832.30, 34,247.97 and 10,520.30 is: 15,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.30 : 34,247.97 = 10,520.30 : x
  2. Step 2: Convert to fraction form
    22,832.30/34,247.97 = 10,520.30/x
  3. Step 3: Cross multiply
    22,832.30x = 34,247.97 × 10,520.30
  4. Step 4: Simplify right side
    22,832.30x = 360,298,918.79
  5. Step 5: Solve for x
    x = 360,298,918.79/22,832.30
  6. Step 6: Final answer
    x = 15,780.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.