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Finding the Fourth Proportional to 20,812.96, 31,202.16 and 9,713.92

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Solution

The fourth proportional to 20,812.96, 31,202.16 and 9,713.92 is: 14,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.96 : 31,202.16 = 9,713.92 : x
  2. Step 2: Convert to fraction form
    20,812.96/31,202.16 = 9,713.92/x
  3. Step 3: Cross multiply
    20,812.96x = 31,202.16 × 9,713.92
  4. Step 4: Simplify right side
    20,812.96x = 303,095,286.07
  5. Step 5: Solve for x
    x = 303,095,286.07/20,812.96
  6. Step 6: Final answer
    x = 14,562.81

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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.