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Finding the Fourth Proportional to 16,494.72, 24,742.08 and 7,728

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Solution

The fourth proportional to 16,494.72, 24,742.08 and 7,728 is: 11,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.72 : 24,742.08 = 7,728 : x
  2. Step 2: Convert to fraction form
    16,494.72/24,742.08 = 7,728/x
  3. Step 3: Cross multiply
    16,494.72x = 24,742.08 × 7,728
  4. Step 4: Simplify right side
    16,494.72x = 191,206,794.24
  5. Step 5: Solve for x
    x = 191,206,794.24/16,494.72
  6. Step 6: Final answer
    x = 11,592

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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.