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Finding the Fourth Proportional to 12,906.95, 19,355.76 and 5,511.92

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Solution

The fourth proportional to 12,906.95, 19,355.76 and 5,511.92 is: 8,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.95 : 19,355.76 = 5,511.92 : x
  2. Step 2: Convert to fraction form
    12,906.95/19,355.76 = 5,511.92/x
  3. Step 3: Cross multiply
    12,906.95x = 19,355.76 × 5,511.92
  4. Step 4: Simplify right side
    12,906.95x = 106,687,303.88
  5. Step 5: Solve for x
    x = 106,687,303.88/12,906.95
  6. Step 6: Final answer
    x = 8,265.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.