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Finding the Fourth Proportional to 12,847.01, 17,727.21 and 7,182.07

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Solution

The fourth proportional to 12,847.01, 17,727.21 and 7,182.07 is: 9,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.01 : 17,727.21 = 7,182.07 : x
  2. Step 2: Convert to fraction form
    12,847.01/17,727.21 = 7,182.07/x
  3. Step 3: Cross multiply
    12,847.01x = 17,727.21 × 7,182.07
  4. Step 4: Simplify right side
    12,847.01x = 127,318,112.22
  5. Step 5: Solve for x
    x = 127,318,112.22/12,847.01
  6. Step 6: Final answer
    x = 9,910.33

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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.