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Finding the Fourth Proportional to 13,171.14, 18,176.19 and 7,202.83

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Solution

The fourth proportional to 13,171.14, 18,176.19 and 7,202.83 is: 9,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.14 : 18,176.19 = 7,202.83 : x
  2. Step 2: Convert to fraction form
    13,171.14/18,176.19 = 7,202.83/x
  3. Step 3: Cross multiply
    13,171.14x = 18,176.19 × 7,202.83
  4. Step 4: Simplify right side
    13,171.14x = 130,920,006.62
  5. Step 5: Solve for x
    x = 130,920,006.62/13,171.14
  6. Step 6: Final answer
    x = 9,939.91

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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.