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Finding the Fourth Proportional to 12,209.37, 16,849.24 and 6,831.63

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Solution

The fourth proportional to 12,209.37, 16,849.24 and 6,831.63 is: 9,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.37 : 16,849.24 = 6,831.63 : x
  2. Step 2: Convert to fraction form
    12,209.37/16,849.24 = 6,831.63/x
  3. Step 3: Cross multiply
    12,209.37x = 16,849.24 × 6,831.63
  4. Step 4: Simplify right side
    12,209.37x = 115,107,751.90
  5. Step 5: Solve for x
    x = 115,107,751.90/12,209.37
  6. Step 6: Final answer
    x = 9,427.82

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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.