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Finding the Fourth Proportional to 12,144.46, 16,759.19 and 6,839.34

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Solution

The fourth proportional to 12,144.46, 16,759.19 and 6,839.34 is: 9,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.46 : 16,759.19 = 6,839.34 : x
  2. Step 2: Convert to fraction form
    12,144.46/16,759.19 = 6,839.34/x
  3. Step 3: Cross multiply
    12,144.46x = 16,759.19 × 6,839.34
  4. Step 4: Simplify right side
    12,144.46x = 114,621,798.53
  5. Step 5: Solve for x
    x = 114,621,798.53/12,144.46
  6. Step 6: Final answer
    x = 9,438.20

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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.