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Finding the Fourth Proportional to 20,827.92, 31,224.78 and 9,729.12

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Solution

The fourth proportional to 20,827.92, 31,224.78 and 9,729.12 is: 14,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.92 : 31,224.78 = 9,729.12 : x
  2. Step 2: Convert to fraction form
    20,827.92/31,224.78 = 9,729.12/x
  3. Step 3: Cross multiply
    20,827.92x = 31,224.78 × 9,729.12
  4. Step 4: Simplify right side
    20,827.92x = 303,789,631.59
  5. Step 5: Solve for x
    x = 303,789,631.59/20,827.92
  6. Step 6: Final answer
    x = 14,585.69

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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.