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Finding the Fourth Proportional to 16,322.33, 24,479.85 and 6,463.82

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Solution

The fourth proportional to 16,322.33, 24,479.85 and 6,463.82 is: 9,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.33 : 24,479.85 = 6,463.82 : x
  2. Step 2: Convert to fraction form
    16,322.33/24,479.85 = 6,463.82/x
  3. Step 3: Cross multiply
    16,322.33x = 24,479.85 × 6,463.82
  4. Step 4: Simplify right side
    16,322.33x = 158,233,344.03
  5. Step 5: Solve for x
    x = 158,233,344.03/16,322.33
  6. Step 6: Final answer
    x = 9,694.29

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Why These Related Problems?

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