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Finding the Fourth Proportional to 13,792.34, 20,691.62 and 5,027.28

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Solution

The fourth proportional to 13,792.34, 20,691.62 and 5,027.28 is: 7,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.34 : 20,691.62 = 5,027.28 : x
  2. Step 2: Convert to fraction form
    13,792.34/20,691.62 = 5,027.28/x
  3. Step 3: Cross multiply
    13,792.34x = 20,691.62 × 5,027.28
  4. Step 4: Simplify right side
    13,792.34x = 104,022,542.26
  5. Step 5: Solve for x
    x = 104,022,542.26/13,792.34
  6. Step 6: Final answer
    x = 7,542.05

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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.