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Finding the Fourth Proportional to 16,249.96, 24,361.50 and 7,477.48

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Solution

The fourth proportional to 16,249.96, 24,361.50 and 7,477.48 is: 11,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.96 : 24,361.50 = 7,477.48 : x
  2. Step 2: Convert to fraction form
    16,249.96/24,361.50 = 7,477.48/x
  3. Step 3: Cross multiply
    16,249.96x = 24,361.50 × 7,477.48
  4. Step 4: Simplify right side
    16,249.96x = 182,162,629.02
  5. Step 5: Solve for x
    x = 182,162,629.02/16,249.96
  6. Step 6: Final answer
    x = 11,210.04

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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.