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Finding the Fourth Proportional to 12,400.42, 17,112.79 and 6,735.17

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Solution

The fourth proportional to 12,400.42, 17,112.79 and 6,735.17 is: 9,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.42 : 17,112.79 = 6,735.17 : x
  2. Step 2: Convert to fraction form
    12,400.42/17,112.79 = 6,735.17/x
  3. Step 3: Cross multiply
    12,400.42x = 17,112.79 × 6,735.17
  4. Step 4: Simplify right side
    12,400.42x = 115,257,607.85
  5. Step 5: Solve for x
    x = 115,257,607.85/12,400.42
  6. Step 6: Final answer
    x = 9,294.65

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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.