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Finding the Fourth Proportional to 19,589.40, 27,019.40 and 13,837.60

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Solution

The fourth proportional to 19,589.40, 27,019.40 and 13,837.60 is: 19,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.40 : 27,019.40 = 13,837.60 : x
  2. Step 2: Convert to fraction form
    19,589.40/27,019.40 = 13,837.60/x
  3. Step 3: Cross multiply
    19,589.40x = 27,019.40 × 13,837.60
  4. Step 4: Simplify right side
    19,589.40x = 373,883,649.44
  5. Step 5: Solve for x
    x = 373,883,649.44/19,589.40
  6. Step 6: Final answer
    x = 19,086.02

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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.