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Finding the Fourth Proportional to 12,143.82, 16,760.61 and 11,589.78

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Solution

The fourth proportional to 12,143.82, 16,760.61 and 11,589.78 is: 15,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.82 : 16,760.61 = 11,589.78 : x
  2. Step 2: Convert to fraction form
    12,143.82/16,760.61 = 11,589.78/x
  3. Step 3: Cross multiply
    12,143.82x = 16,760.61 × 11,589.78
  4. Step 4: Simplify right side
    12,143.82x = 194,251,782.57
  5. Step 5: Solve for x
    x = 194,251,782.57/12,143.82
  6. Step 6: Final answer
    x = 15,995.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.