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Finding the Fourth Proportional to 16,333.14, 24,500.85 and 6,472.39

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Solution

The fourth proportional to 16,333.14, 24,500.85 and 6,472.39 is: 9,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.14 : 24,500.85 = 6,472.39 : x
  2. Step 2: Convert to fraction form
    16,333.14/24,500.85 = 6,472.39/x
  3. Step 3: Cross multiply
    16,333.14x = 24,500.85 × 6,472.39
  4. Step 4: Simplify right side
    16,333.14x = 158,579,056.53
  5. Step 5: Solve for x
    x = 158,579,056.53/16,333.14
  6. Step 6: Final answer
    x = 9,709.04

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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.