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Finding the Fourth Proportional to 22,424.16, 30,944.97 and 12,865.80

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Solution

The fourth proportional to 22,424.16, 30,944.97 and 12,865.80 is: 17,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.16 : 30,944.97 = 12,865.80 : x
  2. Step 2: Convert to fraction form
    22,424.16/30,944.97 = 12,865.80/x
  3. Step 3: Cross multiply
    22,424.16x = 30,944.97 × 12,865.80
  4. Step 4: Simplify right side
    22,424.16x = 398,131,795.03
  5. Step 5: Solve for x
    x = 398,131,795.03/22,424.16
  6. Step 6: Final answer
    x = 17,754.59

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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.