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Finding the Fourth Proportional to 16,544.82, 24,767.98 and 9,951

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Solution

The fourth proportional to 16,544.82, 24,767.98 and 9,951 is: 14,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.82 : 24,767.98 = 9,951 : x
  2. Step 2: Convert to fraction form
    16,544.82/24,767.98 = 9,951/x
  3. Step 3: Cross multiply
    16,544.82x = 24,767.98 × 9,951
  4. Step 4: Simplify right side
    16,544.82x = 246,466,168.98
  5. Step 5: Solve for x
    x = 246,466,168.98/16,544.82
  6. Step 6: Final answer
    x = 14,896.88

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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.