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Finding the Fourth Proportional to 13,149.74, 18,143.66 and 7,843.50

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Solution

The fourth proportional to 13,149.74, 18,143.66 and 7,843.50 is: 10,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.74 : 18,143.66 = 7,843.50 : x
  2. Step 2: Convert to fraction form
    13,149.74/18,143.66 = 7,843.50/x
  3. Step 3: Cross multiply
    13,149.74x = 18,143.66 × 7,843.50
  4. Step 4: Simplify right side
    13,149.74x = 142,309,816.82
  5. Step 5: Solve for x
    x = 142,309,816.82/13,149.74
  6. Step 6: Final answer
    x = 10,822.25

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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.