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Finding the Fourth Proportional to 12,884.32, 17,777.16 and 8,166.88

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Solution

The fourth proportional to 12,884.32, 17,777.16 and 8,166.88 is: 11,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.32 : 17,777.16 = 8,166.88 : x
  2. Step 2: Convert to fraction form
    12,884.32/17,777.16 = 8,166.88/x
  3. Step 3: Cross multiply
    12,884.32x = 17,777.16 × 8,166.88
  4. Step 4: Simplify right side
    12,884.32x = 145,183,932.46
  5. Step 5: Solve for x
    x = 145,183,932.46/12,884.32
  6. Step 6: Final answer
    x = 11,268.27

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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.