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Finding the Fourth Proportional to 13,219.75, 18,242.94 and 7,251.36

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Solution

The fourth proportional to 13,219.75, 18,242.94 and 7,251.36 is: 10,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.75 : 18,242.94 = 7,251.36 : x
  2. Step 2: Convert to fraction form
    13,219.75/18,242.94 = 7,251.36/x
  3. Step 3: Cross multiply
    13,219.75x = 18,242.94 × 7,251.36
  4. Step 4: Simplify right side
    13,219.75x = 132,286,089.14
  5. Step 5: Solve for x
    x = 132,286,089.14/13,219.75
  6. Step 6: Final answer
    x = 10,006.71

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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.