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Finding the Fourth Proportional to 12,384.99, 18,576.54 and 3,499.97

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Solution

The fourth proportional to 12,384.99, 18,576.54 and 3,499.97 is: 5,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.99 : 18,576.54 = 3,499.97 : x
  2. Step 2: Convert to fraction form
    12,384.99/18,576.54 = 3,499.97/x
  3. Step 3: Cross multiply
    12,384.99x = 18,576.54 × 3,499.97
  4. Step 4: Simplify right side
    12,384.99x = 65,017,239.82
  5. Step 5: Solve for x
    x = 65,017,239.82/12,384.99
  6. Step 6: Final answer
    x = 5,249.68

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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.