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Finding the Fourth Proportional to 20,217.36, 30,328.92 and 9,822

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Solution

The fourth proportional to 20,217.36, 30,328.92 and 9,822 is: 14,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.36 : 30,328.92 = 9,822 : x
  2. Step 2: Convert to fraction form
    20,217.36/30,328.92 = 9,822/x
  3. Step 3: Cross multiply
    20,217.36x = 30,328.92 × 9,822
  4. Step 4: Simplify right side
    20,217.36x = 297,890,652.24
  5. Step 5: Solve for x
    x = 297,890,652.24/20,217.36
  6. Step 6: Final answer
    x = 14,734.40

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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.