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Finding the Fourth Proportional to 12,144.25, 16,759.12 and 6,839.16

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Solution

The fourth proportional to 12,144.25, 16,759.12 and 6,839.16 is: 9,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.25 : 16,759.12 = 6,839.16 : x
  2. Step 2: Convert to fraction form
    12,144.25/16,759.12 = 6,839.16/x
  3. Step 3: Cross multiply
    12,144.25x = 16,759.12 × 6,839.16
  4. Step 4: Simplify right side
    12,144.25x = 114,618,303.14
  5. Step 5: Solve for x
    x = 114,618,303.14/12,144.25
  6. Step 6: Final answer
    x = 9,438.07

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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.