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Finding the Fourth Proportional to 12,137.25, 16,749 and 6,831.75

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Solution

The fourth proportional to 12,137.25, 16,749 and 6,831.75 is: 9,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.25 : 16,749 = 6,831.75 : x
  2. Step 2: Convert to fraction form
    12,137.25/16,749 = 6,831.75/x
  3. Step 3: Cross multiply
    12,137.25x = 16,749 × 6,831.75
  4. Step 4: Simplify right side
    12,137.25x = 114,424,980.75
  5. Step 5: Solve for x
    x = 114,424,980.75/12,137.25
  6. Step 6: Final answer
    x = 9,427.59

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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.