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Finding the Fourth Proportional to 19,728.18, 27,229.41 and 13,014.42

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Solution

The fourth proportional to 19,728.18, 27,229.41 and 13,014.42 is: 17,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.18 : 27,229.41 = 13,014.42 : x
  2. Step 2: Convert to fraction form
    19,728.18/27,229.41 = 13,014.42/x
  3. Step 3: Cross multiply
    19,728.18x = 27,229.41 × 13,014.42
  4. Step 4: Simplify right side
    19,728.18x = 354,374,978.09
  5. Step 5: Solve for x
    x = 354,374,978.09/19,728.18
  6. Step 6: Final answer
    x = 17,962.88

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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.