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Finding the Fourth Proportional to 12,286, 16,949.28 and 7,247.44

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Solution

The fourth proportional to 12,286, 16,949.28 and 7,247.44 is: 9,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 16,949.28 = 7,247.44 : x
  2. Step 2: Convert to fraction form
    12,286/16,949.28 = 7,247.44/x
  3. Step 3: Cross multiply
    12,286x = 16,949.28 × 7,247.44
  4. Step 4: Simplify right side
    12,286x = 122,838,889.84
  5. Step 5: Solve for x
    x = 122,838,889.84/12,286
  6. Step 6: Final answer
    x = 9,998.28

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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.