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Finding the Fourth Proportional to 23,822.36, 32,874.63 and 13,067.01

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Solution

The fourth proportional to 23,822.36, 32,874.63 and 13,067.01 is: 18,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.36 : 32,874.63 = 13,067.01 : x
  2. Step 2: Convert to fraction form
    23,822.36/32,874.63 = 13,067.01/x
  3. Step 3: Cross multiply
    23,822.36x = 32,874.63 × 13,067.01
  4. Step 4: Simplify right side
    23,822.36x = 429,573,086.29
  5. Step 5: Solve for x
    x = 429,573,086.29/23,822.36
  6. Step 6: Final answer
    x = 18,032.35

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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.