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Finding the Fourth Proportional to 23,797.14, 32,840.01 and 13,042.02

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Solution

The fourth proportional to 23,797.14, 32,840.01 and 13,042.02 is: 17,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.14 : 32,840.01 = 13,042.02 : x
  2. Step 2: Convert to fraction form
    23,797.14/32,840.01 = 13,042.02/x
  3. Step 3: Cross multiply
    23,797.14x = 32,840.01 × 13,042.02
  4. Step 4: Simplify right side
    23,797.14x = 428,300,067.22
  5. Step 5: Solve for x
    x = 428,300,067.22/23,797.14
  6. Step 6: Final answer
    x = 17,997.96

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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.