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Finding the Fourth Proportional to 15,661.14, 23,481.23 and 8,257.78

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Solution

The fourth proportional to 15,661.14, 23,481.23 and 8,257.78 is: 12,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,661.14 : 23,481.23 = 8,257.78 : x
  2. Step 2: Convert to fraction form
    15,661.14/23,481.23 = 8,257.78/x
  3. Step 3: Cross multiply
    15,661.14x = 23,481.23 × 8,257.78
  4. Step 4: Simplify right side
    15,661.14x = 193,902,831.47
  5. Step 5: Solve for x
    x = 193,902,831.47/15,661.14
  6. Step 6: Final answer
    x = 12,381.14

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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.