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Finding the Fourth Proportional to 12,847.48, 17,735.98 and 8,074.36

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Solution

The fourth proportional to 12,847.48, 17,735.98 and 8,074.36 is: 11,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.48 : 17,735.98 = 8,074.36 : x
  2. Step 2: Convert to fraction form
    12,847.48/17,735.98 = 8,074.36/x
  3. Step 3: Cross multiply
    12,847.48x = 17,735.98 × 8,074.36
  4. Step 4: Simplify right side
    12,847.48x = 143,206,687.47
  5. Step 5: Solve for x
    x = 143,206,687.47/12,847.48
  6. Step 6: Final answer
    x = 11,146.68

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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.