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Finding the Fourth Proportional to 12,777.47, 17,643.85 and 12,206.73

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Solution

The fourth proportional to 12,777.47, 17,643.85 and 12,206.73 is: 16,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.47 : 17,643.85 = 12,206.73 : x
  2. Step 2: Convert to fraction form
    12,777.47/17,643.85 = 12,206.73/x
  3. Step 3: Cross multiply
    12,777.47x = 17,643.85 × 12,206.73
  4. Step 4: Simplify right side
    12,777.47x = 215,373,634.22
  5. Step 5: Solve for x
    x = 215,373,634.22/12,777.47
  6. Step 6: Final answer
    x = 16,855.73

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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.