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Finding the Fourth Proportional to 13,760.29, 18,989.78 and 8,095.31

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Solution

The fourth proportional to 13,760.29, 18,989.78 and 8,095.31 is: 11,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.29 : 18,989.78 = 8,095.31 : x
  2. Step 2: Convert to fraction form
    13,760.29/18,989.78 = 8,095.31/x
  3. Step 3: Cross multiply
    13,760.29x = 18,989.78 × 8,095.31
  4. Step 4: Simplify right side
    13,760.29x = 153,728,020.51
  5. Step 5: Solve for x
    x = 153,728,020.51/13,760.29
  6. Step 6: Final answer
    x = 11,171.86

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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.