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Finding the Fourth Proportional to 13,147.60, 19,727.17 and 6,906.16

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Solution

The fourth proportional to 13,147.60, 19,727.17 and 6,906.16 is: 10,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.60 : 19,727.17 = 6,906.16 : x
  2. Step 2: Convert to fraction form
    13,147.60/19,727.17 = 6,906.16/x
  3. Step 3: Cross multiply
    13,147.60x = 19,727.17 × 6,906.16
  4. Step 4: Simplify right side
    13,147.60x = 136,238,893.73
  5. Step 5: Solve for x
    x = 136,238,893.73/13,147.60
  6. Step 6: Final answer
    x = 10,362.27

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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.