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Finding the Fourth Proportional to 12,494.14, 17,241.33 and 6,829.18

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Solution

The fourth proportional to 12,494.14, 17,241.33 and 6,829.18 is: 9,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.14 : 17,241.33 = 6,829.18 : x
  2. Step 2: Convert to fraction form
    12,494.14/17,241.33 = 6,829.18/x
  3. Step 3: Cross multiply
    12,494.14x = 17,241.33 × 6,829.18
  4. Step 4: Simplify right side
    12,494.14x = 117,744,146.01
  5. Step 5: Solve for x
    x = 117,744,146.01/12,494.14
  6. Step 6: Final answer
    x = 9,423.95

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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.