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Finding the Fourth Proportional to 13,844.53, 19,102.93 and 8,180.20

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Solution

The fourth proportional to 13,844.53, 19,102.93 and 8,180.20 is: 11,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.53 : 19,102.93 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    13,844.53/19,102.93 = 8,180.20/x
  3. Step 3: Cross multiply
    13,844.53x = 19,102.93 × 8,180.20
  4. Step 4: Simplify right side
    13,844.53x = 156,265,791.41
  5. Step 5: Solve for x
    x = 156,265,791.41/13,844.53
  6. Step 6: Final answer
    x = 11,287.19

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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.