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Finding the Fourth Proportional to 12,286.24, 16,954.98 and 6,697.24

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Solution

The fourth proportional to 12,286.24, 16,954.98 and 6,697.24 is: 9,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.24 : 16,954.98 = 6,697.24 : x
  2. Step 2: Convert to fraction form
    12,286.24/16,954.98 = 6,697.24/x
  3. Step 3: Cross multiply
    12,286.24x = 16,954.98 × 6,697.24
  4. Step 4: Simplify right side
    12,286.24x = 113,551,570.26
  5. Step 5: Solve for x
    x = 113,551,570.26/12,286.24
  6. Step 6: Final answer
    x = 9,242.17

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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.