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Finding the Fourth Proportional to 19,817.82, 27,344.10 and 13,445.28

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Solution

The fourth proportional to 19,817.82, 27,344.10 and 13,445.28 is: 18,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.82 : 27,344.10 = 13,445.28 : x
  2. Step 2: Convert to fraction form
    19,817.82/27,344.10 = 13,445.28/x
  3. Step 3: Cross multiply
    19,817.82x = 27,344.10 × 13,445.28
  4. Step 4: Simplify right side
    19,817.82x = 367,649,080.85
  5. Step 5: Solve for x
    x = 367,649,080.85/19,817.82
  6. Step 6: Final answer
    x = 18,551.44

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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.