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Finding the Fourth Proportional to 13,822.99, 19,078.46 and 8,793.16

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Solution

The fourth proportional to 13,822.99, 19,078.46 and 8,793.16 is: 12,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.99 : 19,078.46 = 8,793.16 : x
  2. Step 2: Convert to fraction form
    13,822.99/19,078.46 = 8,793.16/x
  3. Step 3: Cross multiply
    13,822.99x = 19,078.46 × 8,793.16
  4. Step 4: Simplify right side
    13,822.99x = 167,759,811.98
  5. Step 5: Solve for x
    x = 167,759,811.98/13,822.99
  6. Step 6: Final answer
    x = 12,136.29

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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.