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Finding the Fourth Proportional to 16,067.64, 24,106.74 and 10,137.66

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Solution

The fourth proportional to 16,067.64, 24,106.74 and 10,137.66 is: 15,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.64 : 24,106.74 = 10,137.66 : x
  2. Step 2: Convert to fraction form
    16,067.64/24,106.74 = 10,137.66/x
  3. Step 3: Cross multiply
    16,067.64x = 24,106.74 × 10,137.66
  4. Step 4: Simplify right side
    16,067.64x = 244,385,933.83
  5. Step 5: Solve for x
    x = 244,385,933.83/16,067.64
  6. Step 6: Final answer
    x = 15,209.82

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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.