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Finding the Fourth Proportional to 13,190.65, 19,772.00 and 8,192.95

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Solution

The fourth proportional to 13,190.65, 19,772.00 and 8,192.95 is: 12,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.65 : 19,772.00 = 8,192.95 : x
  2. Step 2: Convert to fraction form
    13,190.65/19,772.00 = 8,192.95/x
  3. Step 3: Cross multiply
    13,190.65x = 19,772.00 × 8,192.95
  4. Step 4: Simplify right side
    13,190.65x = 161,990,947.73
  5. Step 5: Solve for x
    x = 161,990,947.73/13,190.65
  6. Step 6: Final answer
    x = 12,280.74

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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.