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Finding the Fourth Proportional to 23,239.31, 32,064.93 and 13,165.44

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Solution

The fourth proportional to 23,239.31, 32,064.93 and 13,165.44 is: 18,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,239.31 : 32,064.93 = 13,165.44 : x
  2. Step 2: Convert to fraction form
    23,239.31/32,064.93 = 13,165.44/x
  3. Step 3: Cross multiply
    23,239.31x = 32,064.93 × 13,165.44
  4. Step 4: Simplify right side
    23,239.31x = 422,148,791.78
  5. Step 5: Solve for x
    x = 422,148,791.78/23,239.31
  6. Step 6: Final answer
    x = 18,165.29

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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.