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Finding the Fourth Proportional to 13,857.90, 20,789.46 and 7,614.54

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Solution

The fourth proportional to 13,857.90, 20,789.46 and 7,614.54 is: 11,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.90 : 20,789.46 = 7,614.54 : x
  2. Step 2: Convert to fraction form
    13,857.90/20,789.46 = 7,614.54/x
  3. Step 3: Cross multiply
    13,857.90x = 20,789.46 × 7,614.54
  4. Step 4: Simplify right side
    13,857.90x = 158,302,174.75
  5. Step 5: Solve for x
    x = 158,302,174.75/13,857.90
  6. Step 6: Final answer
    x = 11,423.24

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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.