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Finding the Fourth Proportional to 23,822.48, 32,874.80 and 13,067.14

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Solution

The fourth proportional to 23,822.48, 32,874.80 and 13,067.14 is: 18,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.48 : 32,874.80 = 13,067.14 : x
  2. Step 2: Convert to fraction form
    23,822.48/32,874.80 = 13,067.14/x
  3. Step 3: Cross multiply
    23,822.48x = 32,874.80 × 13,067.14
  4. Step 4: Simplify right side
    23,822.48x = 429,579,614.07
  5. Step 5: Solve for x
    x = 429,579,614.07/23,822.48
  6. Step 6: Final answer
    x = 18,032.53

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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.