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Finding the Fourth Proportional to 20,344.24, 30,520.98 and 7,864.30

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Solution

The fourth proportional to 20,344.24, 30,520.98 and 7,864.30 is: 11,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.24 : 30,520.98 = 7,864.30 : x
  2. Step 2: Convert to fraction form
    20,344.24/30,520.98 = 7,864.30/x
  3. Step 3: Cross multiply
    20,344.24x = 30,520.98 × 7,864.30
  4. Step 4: Simplify right side
    20,344.24x = 240,026,143.01
  5. Step 5: Solve for x
    x = 240,026,143.01/20,344.24
  6. Step 6: Final answer
    x = 11,798.24

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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.