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Finding the Fourth Proportional to 12,092.66, 18,097.59 and 8,399.06

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Solution

The fourth proportional to 12,092.66, 18,097.59 and 8,399.06 is: 12,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.66 : 18,097.59 = 8,399.06 : x
  2. Step 2: Convert to fraction form
    12,092.66/18,097.59 = 8,399.06/x
  3. Step 3: Cross multiply
    12,092.66x = 18,097.59 × 8,399.06
  4. Step 4: Simplify right side
    12,092.66x = 152,002,744.27
  5. Step 5: Solve for x
    x = 152,002,744.27/12,092.66
  6. Step 6: Final answer
    x = 12,569.84

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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.