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Finding the Fourth Proportional to 12,805.14, 17,659.35 and 8,777.82

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Solution

The fourth proportional to 12,805.14, 17,659.35 and 8,777.82 is: 12,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.14 : 17,659.35 = 8,777.82 : x
  2. Step 2: Convert to fraction form
    12,805.14/17,659.35 = 8,777.82/x
  3. Step 3: Cross multiply
    12,805.14x = 17,659.35 × 8,777.82
  4. Step 4: Simplify right side
    12,805.14x = 155,010,595.62
  5. Step 5: Solve for x
    x = 155,010,595.62/12,805.14
  6. Step 6: Final answer
    x = 12,105.34

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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.