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Finding the Fourth Proportional to 14,131.06, 19,500.09 and 7,843.06

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Solution

The fourth proportional to 14,131.06, 19,500.09 and 7,843.06 is: 10,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.06 : 19,500.09 = 7,843.06 : x
  2. Step 2: Convert to fraction form
    14,131.06/19,500.09 = 7,843.06/x
  3. Step 3: Cross multiply
    14,131.06x = 19,500.09 × 7,843.06
  4. Step 4: Simplify right side
    14,131.06x = 152,940,375.88
  5. Step 5: Solve for x
    x = 152,940,375.88/14,131.06
  6. Step 6: Final answer
    x = 10,822.99

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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.