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Finding the Fourth Proportional to 23,677.63, 32,673.75 and 13,067.24

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Solution

The fourth proportional to 23,677.63, 32,673.75 and 13,067.24 is: 18,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.63 : 32,673.75 = 13,067.24 : x
  2. Step 2: Convert to fraction form
    23,677.63/32,673.75 = 13,067.24/x
  3. Step 3: Cross multiply
    23,677.63x = 32,673.75 × 13,067.24
  4. Step 4: Simplify right side
    23,677.63x = 426,955,520.58
  5. Step 5: Solve for x
    x = 426,955,520.58/23,677.63
  6. Step 6: Final answer
    x = 18,032.02

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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.