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Finding the Fourth Proportional to 16,484.88, 24,727.09 and 4,005

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Solution

The fourth proportional to 16,484.88, 24,727.09 and 4,005 is: 6,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.88 : 24,727.09 = 4,005 : x
  2. Step 2: Convert to fraction form
    16,484.88/24,727.09 = 4,005/x
  3. Step 3: Cross multiply
    16,484.88x = 24,727.09 × 4,005
  4. Step 4: Simplify right side
    16,484.88x = 99,031,995.45
  5. Step 5: Solve for x
    x = 99,031,995.45/16,484.88
  6. Step 6: Final answer
    x = 6,007.44

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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.