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Finding the Fourth Proportional to 12,436.53, 17,162.16 and 6,771.41

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Solution

The fourth proportional to 12,436.53, 17,162.16 and 6,771.41 is: 9,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.53 : 17,162.16 = 6,771.41 : x
  2. Step 2: Convert to fraction form
    12,436.53/17,162.16 = 6,771.41/x
  3. Step 3: Cross multiply
    12,436.53x = 17,162.16 × 6,771.41
  4. Step 4: Simplify right side
    12,436.53x = 116,211,936.03
  5. Step 5: Solve for x
    x = 116,211,936.03/12,436.53
  6. Step 6: Final answer
    x = 9,344.40

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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.