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Finding the Fourth Proportional to 13,142.43, 18,134.37 and 7,835.31

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Solution

The fourth proportional to 13,142.43, 18,134.37 and 7,835.31 is: 10,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.43 : 18,134.37 = 7,835.31 : x
  2. Step 2: Convert to fraction form
    13,142.43/18,134.37 = 7,835.31/x
  3. Step 3: Cross multiply
    13,142.43x = 18,134.37 × 7,835.31
  4. Step 4: Simplify right side
    13,142.43x = 142,088,410.60
  5. Step 5: Solve for x
    x = 142,088,410.60/13,142.43
  6. Step 6: Final answer
    x = 10,811.43

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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.