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Finding the Fourth Proportional to 12,135.28, 16,745.52 and 6,831.96

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Solution

The fourth proportional to 12,135.28, 16,745.52 and 6,831.96 is: 9,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.28 : 16,745.52 = 6,831.96 : x
  2. Step 2: Convert to fraction form
    12,135.28/16,745.52 = 6,831.96/x
  3. Step 3: Cross multiply
    12,135.28x = 16,745.52 × 6,831.96
  4. Step 4: Simplify right side
    12,135.28x = 114,404,722.82
  5. Step 5: Solve for x
    x = 114,404,722.82/12,135.28
  6. Step 6: Final answer
    x = 9,427.45

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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.