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Finding the Fourth Proportional to 16,811.92, 25,224.15 and 7,930.06

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Solution

The fourth proportional to 16,811.92, 25,224.15 and 7,930.06 is: 11,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.92 : 25,224.15 = 7,930.06 : x
  2. Step 2: Convert to fraction form
    16,811.92/25,224.15 = 7,930.06/x
  3. Step 3: Cross multiply
    16,811.92x = 25,224.15 × 7,930.06
  4. Step 4: Simplify right side
    16,811.92x = 200,029,022.95
  5. Step 5: Solve for x
    x = 200,029,022.95/16,811.92
  6. Step 6: Final answer
    x = 11,898.05

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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.