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Finding the Fourth Proportional to 12,166.97, 16,776.41 and 8,984.88

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Solution

The fourth proportional to 12,166.97, 16,776.41 and 8,984.88 is: 12,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.97 : 16,776.41 = 8,984.88 : x
  2. Step 2: Convert to fraction form
    12,166.97/16,776.41 = 8,984.88/x
  3. Step 3: Cross multiply
    12,166.97x = 16,776.41 × 8,984.88
  4. Step 4: Simplify right side
    12,166.97x = 150,733,985.76
  5. Step 5: Solve for x
    x = 150,733,985.76/12,166.97
  6. Step 6: Final answer
    x = 12,388.79

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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.