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Finding the Fourth Proportional to 13,029.14, 19,499.79 and 8,081.78

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Solution

The fourth proportional to 13,029.14, 19,499.79 and 8,081.78 is: 12,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.14 : 19,499.79 = 8,081.78 : x
  2. Step 2: Convert to fraction form
    13,029.14/19,499.79 = 8,081.78/x
  3. Step 3: Cross multiply
    13,029.14x = 19,499.79 × 8,081.78
  4. Step 4: Simplify right side
    13,029.14x = 157,593,012.83
  5. Step 5: Solve for x
    x = 157,593,012.83/13,029.14
  6. Step 6: Final answer
    x = 12,095.43

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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.