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Finding the Fourth Proportional to 12,159.99, 18,233.13 and 3,838.44

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Solution

The fourth proportional to 12,159.99, 18,233.13 and 3,838.44 is: 5,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.99 : 18,233.13 = 3,838.44 : x
  2. Step 2: Convert to fraction form
    12,159.99/18,233.13 = 3,838.44/x
  3. Step 3: Cross multiply
    12,159.99x = 18,233.13 × 3,838.44
  4. Step 4: Simplify right side
    12,159.99x = 69,986,775.52
  5. Step 5: Solve for x
    x = 69,986,775.52/12,159.99
  6. Step 6: Final answer
    x = 5,755.50

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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.