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Finding the Fourth Proportional to 16,198.00, 24,300.95 and 6,832.98

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Solution

The fourth proportional to 16,198.00, 24,300.95 and 6,832.98 is: 10,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.00 : 24,300.95 = 6,832.98 : x
  2. Step 2: Convert to fraction form
    16,198.00/24,300.95 = 6,832.98/x
  3. Step 3: Cross multiply
    16,198.00x = 24,300.95 × 6,832.98
  4. Step 4: Simplify right side
    16,198.00x = 166,047,871.17
  5. Step 5: Solve for x
    x = 166,047,871.17/16,198.00
  6. Step 6: Final answer
    x = 10,251.14

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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.