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Finding the Fourth Proportional to 21,831.91, 32,747.83 and 6,249.53

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Solution

The fourth proportional to 21,831.91, 32,747.83 and 6,249.53 is: 9,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.91 : 32,747.83 = 6,249.53 : x
  2. Step 2: Convert to fraction form
    21,831.91/32,747.83 = 6,249.53/x
  3. Step 3: Cross multiply
    21,831.91x = 32,747.83 × 6,249.53
  4. Step 4: Simplify right side
    21,831.91x = 204,658,612.27
  5. Step 5: Solve for x
    x = 204,658,612.27/21,831.91
  6. Step 6: Final answer
    x = 9,374.29

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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.