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Finding the Fourth Proportional to 12,659.21, 17,463.49 and 8,186.79

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Solution

The fourth proportional to 12,659.21, 17,463.49 and 8,186.79 is: 11,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.21 : 17,463.49 = 8,186.79 : x
  2. Step 2: Convert to fraction form
    12,659.21/17,463.49 = 8,186.79/x
  3. Step 3: Cross multiply
    12,659.21x = 17,463.49 × 8,186.79
  4. Step 4: Simplify right side
    12,659.21x = 142,969,925.30
  5. Step 5: Solve for x
    x = 142,969,925.30/12,659.21
  6. Step 6: Final answer
    x = 11,293.75

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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.