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Finding the Fourth Proportional to 16,067.61, 24,105 and 7,754.60

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Solution

The fourth proportional to 16,067.61, 24,105 and 7,754.60 is: 11,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.61 : 24,105 = 7,754.60 : x
  2. Step 2: Convert to fraction form
    16,067.61/24,105 = 7,754.60/x
  3. Step 3: Cross multiply
    16,067.61x = 24,105 × 7,754.60
  4. Step 4: Simplify right side
    16,067.61x = 186,924,512.48
  5. Step 5: Solve for x
    x = 186,924,512.48/16,067.61
  6. Step 6: Final answer
    x = 11,633.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.