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Finding the Fourth Proportional to 20,881.33, 31,318.81 and 6,842.81

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Solution

The fourth proportional to 20,881.33, 31,318.81 and 6,842.81 is: 10,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.33 : 31,318.81 = 6,842.81 : x
  2. Step 2: Convert to fraction form
    20,881.33/31,318.81 = 6,842.81/x
  3. Step 3: Cross multiply
    20,881.33x = 31,318.81 × 6,842.81
  4. Step 4: Simplify right side
    20,881.33x = 214,308,727.45
  5. Step 5: Solve for x
    x = 214,308,727.45/20,881.33
  6. Step 6: Final answer
    x = 10,263.18

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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.