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Finding the Fourth Proportional to 16,161.36, 24,225.81 and 6,803.65

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Solution

The fourth proportional to 16,161.36, 24,225.81 and 6,803.65 is: 10,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.36 : 24,225.81 = 6,803.65 : x
  2. Step 2: Convert to fraction form
    16,161.36/24,225.81 = 6,803.65/x
  3. Step 3: Cross multiply
    16,161.36x = 24,225.81 × 6,803.65
  4. Step 4: Simplify right side
    16,161.36x = 164,823,932.21
  5. Step 5: Solve for x
    x = 164,823,932.21/16,161.36
  6. Step 6: Final answer
    x = 10,198.64

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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.