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Finding the Fourth Proportional to 16,682.52, 25,034.04 and 6,821.85

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Solution

The fourth proportional to 16,682.52, 25,034.04 and 6,821.85 is: 10,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.52 : 25,034.04 = 6,821.85 : x
  2. Step 2: Convert to fraction form
    16,682.52/25,034.04 = 6,821.85/x
  3. Step 3: Cross multiply
    16,682.52x = 25,034.04 × 6,821.85
  4. Step 4: Simplify right side
    16,682.52x = 170,778,465.77
  5. Step 5: Solve for x
    x = 170,778,465.77/16,682.52
  6. Step 6: Final answer
    x = 10,236.97

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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.