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Finding the Fourth Proportional to 13,912.21, 20,842.17 and 6,884.07

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Solution

The fourth proportional to 13,912.21, 20,842.17 and 6,884.07 is: 10,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.21 : 20,842.17 = 6,884.07 : x
  2. Step 2: Convert to fraction form
    13,912.21/20,842.17 = 6,884.07/x
  3. Step 3: Cross multiply
    13,912.21x = 20,842.17 × 6,884.07
  4. Step 4: Simplify right side
    13,912.21x = 143,478,957.23
  5. Step 5: Solve for x
    x = 143,478,957.23/13,912.21
  6. Step 6: Final answer
    x = 10,313.17

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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.