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Finding the Fourth Proportional to 16,193.79, 24,285.99 and 6,835.89

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Solution

The fourth proportional to 16,193.79, 24,285.99 and 6,835.89 is: 10,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.79 : 24,285.99 = 6,835.89 : x
  2. Step 2: Convert to fraction form
    16,193.79/24,285.99 = 6,835.89/x
  3. Step 3: Cross multiply
    16,193.79x = 24,285.99 × 6,835.89
  4. Step 4: Simplify right side
    16,193.79x = 166,016,356.18
  5. Step 5: Solve for x
    x = 166,016,356.18/16,193.79
  6. Step 6: Final answer
    x = 10,251.85

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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.