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Finding the Fourth Proportional to 12,232.69, 16,754.61 and 11,514.56

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Solution

The fourth proportional to 12,232.69, 16,754.61 and 11,514.56 is: 15,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.69 : 16,754.61 = 11,514.56 : x
  2. Step 2: Convert to fraction form
    12,232.69/16,754.61 = 11,514.56/x
  3. Step 3: Cross multiply
    12,232.69x = 16,754.61 × 11,514.56
  4. Step 4: Simplify right side
    12,232.69x = 192,921,921.53
  5. Step 5: Solve for x
    x = 192,921,921.53/12,232.69
  6. Step 6: Final answer
    x = 15,771.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.