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Finding the Fourth Proportional to 12,224.14, 18,305.18 and 10,244.56

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Solution

The fourth proportional to 12,224.14, 18,305.18 and 10,244.56 is: 15,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.14 : 18,305.18 = 10,244.56 : x
  2. Step 2: Convert to fraction form
    12,224.14/18,305.18 = 10,244.56/x
  3. Step 3: Cross multiply
    12,224.14x = 18,305.18 × 10,244.56
  4. Step 4: Simplify right side
    12,224.14x = 187,528,514.82
  5. Step 5: Solve for x
    x = 187,528,514.82/12,224.14
  6. Step 6: Final answer
    x = 15,340.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.