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Finding the Fourth Proportional to 12,694.75, 17,514.70 and 8,221.93

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Solution

The fourth proportional to 12,694.75, 17,514.70 and 8,221.93 is: 11,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.75 : 17,514.70 = 8,221.93 : x
  2. Step 2: Convert to fraction form
    12,694.75/17,514.70 = 8,221.93/x
  3. Step 3: Cross multiply
    12,694.75x = 17,514.70 × 8,221.93
  4. Step 4: Simplify right side
    12,694.75x = 144,004,637.37
  5. Step 5: Solve for x
    x = 144,004,637.37/12,694.75
  6. Step 6: Final answer
    x = 11,343.64

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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.