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Finding the Fourth Proportional to 16,474.84, 24,716.34 and 4,788.16

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Solution

The fourth proportional to 16,474.84, 24,716.34 and 4,788.16 is: 7,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.84 : 24,716.34 = 4,788.16 : x
  2. Step 2: Convert to fraction form
    16,474.84/24,716.34 = 4,788.16/x
  3. Step 3: Cross multiply
    16,474.84x = 24,716.34 × 4,788.16
  4. Step 4: Simplify right side
    16,474.84x = 118,345,790.53
  5. Step 5: Solve for x
    x = 118,345,790.53/16,474.84
  6. Step 6: Final answer
    x = 7,183.43

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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.