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Finding the Fourth Proportional to 19,708.31, 27,151.26 and 13,729.16

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Solution

The fourth proportional to 19,708.31, 27,151.26 and 13,729.16 is: 18,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.31 : 27,151.26 = 13,729.16 : x
  2. Step 2: Convert to fraction form
    19,708.31/27,151.26 = 13,729.16/x
  3. Step 3: Cross multiply
    19,708.31x = 27,151.26 × 13,729.16
  4. Step 4: Simplify right side
    19,708.31x = 372,763,992.74
  5. Step 5: Solve for x
    x = 372,763,992.74/19,708.31
  6. Step 6: Final answer
    x = 18,914.05

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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.