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Finding the Fourth Proportional to 12,137.14, 16,747.41 and 6,831.82

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Solution

The fourth proportional to 12,137.14, 16,747.41 and 6,831.82 is: 9,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.14 : 16,747.41 = 6,831.82 : x
  2. Step 2: Convert to fraction form
    12,137.14/16,747.41 = 6,831.82/x
  3. Step 3: Cross multiply
    12,137.14x = 16,747.41 × 6,831.82
  4. Step 4: Simplify right side
    12,137.14x = 114,415,290.59
  5. Step 5: Solve for x
    x = 114,415,290.59/12,137.14
  6. Step 6: Final answer
    x = 9,426.87

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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.