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Finding the Fourth Proportional to 13,830.57, 20,758.24 and 7,171.83

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Solution

The fourth proportional to 13,830.57, 20,758.24 and 7,171.83 is: 10,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.57 : 20,758.24 = 7,171.83 : x
  2. Step 2: Convert to fraction form
    13,830.57/20,758.24 = 7,171.83/x
  3. Step 3: Cross multiply
    13,830.57x = 20,758.24 × 7,171.83
  4. Step 4: Simplify right side
    13,830.57x = 148,874,610.36
  5. Step 5: Solve for x
    x = 148,874,610.36/13,830.57
  6. Step 6: Final answer
    x = 10,764.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.