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Finding the Fourth Proportional to 23,678.37, 32,675.29 and 13,067.78

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Solution

The fourth proportional to 23,678.37, 32,675.29 and 13,067.78 is: 18,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.37 : 32,675.29 = 13,067.78 : x
  2. Step 2: Convert to fraction form
    23,678.37/32,675.29 = 13,067.78/x
  3. Step 3: Cross multiply
    23,678.37x = 32,675.29 × 13,067.78
  4. Step 4: Simplify right side
    23,678.37x = 426,993,501.16
  5. Step 5: Solve for x
    x = 426,993,501.16/23,678.37
  6. Step 6: Final answer
    x = 18,033.06

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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.