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Finding the Fourth Proportional to 16,190.93, 24,276.33 and 6,826.13

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Solution

The fourth proportional to 16,190.93, 24,276.33 and 6,826.13 is: 10,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.93 : 24,276.33 = 6,826.13 : x
  2. Step 2: Convert to fraction form
    16,190.93/24,276.33 = 6,826.13/x
  3. Step 3: Cross multiply
    16,190.93x = 24,276.33 × 6,826.13
  4. Step 4: Simplify right side
    16,190.93x = 165,713,384.50
  5. Step 5: Solve for x
    x = 165,713,384.50/16,190.93
  6. Step 6: Final answer
    x = 10,234.95

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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.