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Finding the Fourth Proportional to 16,067.16, 24,097.80 and 4,377.63

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Solution

The fourth proportional to 16,067.16, 24,097.80 and 4,377.63 is: 6,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.16 : 24,097.80 = 4,377.63 : x
  2. Step 2: Convert to fraction form
    16,067.16/24,097.80 = 4,377.63/x
  3. Step 3: Cross multiply
    16,067.16x = 24,097.80 × 4,377.63
  4. Step 4: Simplify right side
    16,067.16x = 105,491,252.21
  5. Step 5: Solve for x
    x = 105,491,252.21/16,067.16
  6. Step 6: Final answer
    x = 6,565.64

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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.