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Finding the Fourth Proportional to 12,264.42, 18,399.69 and 3,499.41

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Solution

The fourth proportional to 12,264.42, 18,399.69 and 3,499.41 is: 5,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.42 : 18,399.69 = 3,499.41 : x
  2. Step 2: Convert to fraction form
    12,264.42/18,399.69 = 3,499.41/x
  3. Step 3: Cross multiply
    12,264.42x = 18,399.69 × 3,499.41
  4. Step 4: Simplify right side
    12,264.42x = 64,388,059.18
  5. Step 5: Solve for x
    x = 64,388,059.18/12,264.42
  6. Step 6: Final answer
    x = 5,249.99

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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.