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Finding the Fourth Proportional to 12,841.92, 17,709.84 and 8,117.76

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Solution

The fourth proportional to 12,841.92, 17,709.84 and 8,117.76 is: 11,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.92 : 17,709.84 = 8,117.76 : x
  2. Step 2: Convert to fraction form
    12,841.92/17,709.84 = 8,117.76/x
  3. Step 3: Cross multiply
    12,841.92x = 17,709.84 × 8,117.76
  4. Step 4: Simplify right side
    12,841.92x = 143,764,230.76
  5. Step 5: Solve for x
    x = 143,764,230.76/12,841.92
  6. Step 6: Final answer
    x = 11,194.92

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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.