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Finding the Fourth Proportional to 12,135.73, 16,747.91 and 6,831.13

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Solution

The fourth proportional to 12,135.73, 16,747.91 and 6,831.13 is: 9,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.73 : 16,747.91 = 6,831.13 : x
  2. Step 2: Convert to fraction form
    12,135.73/16,747.91 = 6,831.13/x
  3. Step 3: Cross multiply
    12,135.73x = 16,747.91 × 6,831.13
  4. Step 4: Simplify right side
    12,135.73x = 114,407,150.44
  5. Step 5: Solve for x
    x = 114,407,150.44/12,135.73
  6. Step 6: Final answer
    x = 9,427.30

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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.