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Finding the Fourth Proportional to 13,721.88, 18,936.54 and 8,419.62

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Solution

The fourth proportional to 13,721.88, 18,936.54 and 8,419.62 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.88 : 18,936.54 = 8,419.62 : x
  2. Step 2: Convert to fraction form
    13,721.88/18,936.54 = 8,419.62/x
  3. Step 3: Cross multiply
    13,721.88x = 18,936.54 × 8,419.62
  4. Step 4: Simplify right side
    13,721.88x = 159,438,470.91
  5. Step 5: Solve for x
    x = 159,438,470.91/13,721.88
  6. Step 6: Final answer
    x = 11,619.29

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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.