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Finding the Fourth Proportional to 18,939.78, 28,390.53 and 7,831.14

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Solution

The fourth proportional to 18,939.78, 28,390.53 and 7,831.14 is: 11,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,939.78 : 28,390.53 = 7,831.14 : x
  2. Step 2: Convert to fraction form
    18,939.78/28,390.53 = 7,831.14/x
  3. Step 3: Cross multiply
    18,939.78x = 28,390.53 × 7,831.14
  4. Step 4: Simplify right side
    18,939.78x = 222,330,215.10
  5. Step 5: Solve for x
    x = 222,330,215.10/18,939.78
  6. Step 6: Final answer
    x = 11,738.80

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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.