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Finding the Fourth Proportional to 16,165.27, 24,253.83 and 6,807.65

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Solution

The fourth proportional to 16,165.27, 24,253.83 and 6,807.65 is: 10,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.27 : 24,253.83 = 6,807.65 : x
  2. Step 2: Convert to fraction form
    16,165.27/24,253.83 = 6,807.65/x
  3. Step 3: Cross multiply
    16,165.27x = 24,253.83 × 6,807.65
  4. Step 4: Simplify right side
    16,165.27x = 165,111,464.53
  5. Step 5: Solve for x
    x = 165,111,464.53/16,165.27
  6. Step 6: Final answer
    x = 10,213.96

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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.