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Finding the Fourth Proportional to 13,892.99, 19,170.27 and 8,439.23

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Solution

The fourth proportional to 13,892.99, 19,170.27 and 8,439.23 is: 11,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.99 : 19,170.27 = 8,439.23 : x
  2. Step 2: Convert to fraction form
    13,892.99/19,170.27 = 8,439.23/x
  3. Step 3: Cross multiply
    13,892.99x = 19,170.27 × 8,439.23
  4. Step 4: Simplify right side
    13,892.99x = 161,782,317.69
  5. Step 5: Solve for x
    x = 161,782,317.69/13,892.99
  6. Step 6: Final answer
    x = 11,644.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.