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Finding the Fourth Proportional to 20,098.53, 27,733.19 and 13,388.49

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Solution

The fourth proportional to 20,098.53, 27,733.19 and 13,388.49 is: 18,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.53 : 27,733.19 = 13,388.49 : x
  2. Step 2: Convert to fraction form
    20,098.53/27,733.19 = 13,388.49/x
  3. Step 3: Cross multiply
    20,098.53x = 27,733.19 × 13,388.49
  4. Step 4: Simplify right side
    20,098.53x = 371,305,470.04
  5. Step 5: Solve for x
    x = 371,305,470.04/20,098.53
  6. Step 6: Final answer
    x = 18,474.26

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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.