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Finding the Fourth Proportional to 23,964.90, 32,832.06 and 23,067.06

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Solution

The fourth proportional to 23,964.90, 32,832.06 and 23,067.06 is: 31,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.90 : 32,832.06 = 23,067.06 : x
  2. Step 2: Convert to fraction form
    23,964.90/32,832.06 = 23,067.06/x
  3. Step 3: Cross multiply
    23,964.90x = 32,832.06 × 23,067.06
  4. Step 4: Simplify right side
    23,964.90x = 757,339,097.94
  5. Step 5: Solve for x
    x = 757,339,097.94/23,964.90
  6. Step 6: Final answer
    x = 31,602.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.