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Finding the Fourth Proportional to 12,236.96, 16,886.16 and 7,268

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Solution

The fourth proportional to 12,236.96, 16,886.16 and 7,268 is: 10,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.96 : 16,886.16 = 7,268 : x
  2. Step 2: Convert to fraction form
    12,236.96/16,886.16 = 7,268/x
  3. Step 3: Cross multiply
    12,236.96x = 16,886.16 × 7,268
  4. Step 4: Simplify right side
    12,236.96x = 122,728,610.88
  5. Step 5: Solve for x
    x = 122,728,610.88/12,236.96
  6. Step 6: Final answer
    x = 10,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.