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Finding the Fourth Proportional to 13,002.14, 17,942.92 and 7,336.87

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Solution

The fourth proportional to 13,002.14, 17,942.92 and 7,336.87 is: 10,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.14 : 17,942.92 = 7,336.87 : x
  2. Step 2: Convert to fraction form
    13,002.14/17,942.92 = 7,336.87/x
  3. Step 3: Cross multiply
    13,002.14x = 17,942.92 × 7,336.87
  4. Step 4: Simplify right side
    13,002.14x = 131,644,871.46
  5. Step 5: Solve for x
    x = 131,644,871.46/13,002.14
  6. Step 6: Final answer
    x = 10,124.86

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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.