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Finding the Fourth Proportional to 13,311.97, 18,370.42 and 7,343.50

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Solution

The fourth proportional to 13,311.97, 18,370.42 and 7,343.50 is: 10,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.97 : 18,370.42 = 7,343.50 : x
  2. Step 2: Convert to fraction form
    13,311.97/18,370.42 = 7,343.50/x
  3. Step 3: Cross multiply
    13,311.97x = 18,370.42 × 7,343.50
  4. Step 4: Simplify right side
    13,311.97x = 134,903,179.27
  5. Step 5: Solve for x
    x = 134,903,179.27/13,311.97
  6. Step 6: Final answer
    x = 10,133.98

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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.