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Finding the Fourth Proportional to 12,833.92, 17,682.64 and 8,634.88

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Solution

The fourth proportional to 12,833.92, 17,682.64 and 8,634.88 is: 11,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.92 : 17,682.64 = 8,634.88 : x
  2. Step 2: Convert to fraction form
    12,833.92/17,682.64 = 8,634.88/x
  3. Step 3: Cross multiply
    12,833.92x = 17,682.64 × 8,634.88
  4. Step 4: Simplify right side
    12,833.92x = 152,687,474.48
  5. Step 5: Solve for x
    x = 152,687,474.48/12,833.92
  6. Step 6: Final answer
    x = 11,897.18

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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.