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Finding the Fourth Proportional to 17,871.60, 26,777.01 and 11,622.06

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Solution

The fourth proportional to 17,871.60, 26,777.01 and 11,622.06 is: 17,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.60 : 26,777.01 = 11,622.06 : x
  2. Step 2: Convert to fraction form
    17,871.60/26,777.01 = 11,622.06/x
  3. Step 3: Cross multiply
    17,871.60x = 26,777.01 × 11,622.06
  4. Step 4: Simplify right side
    17,871.60x = 311,204,016.84
  5. Step 5: Solve for x
    x = 311,204,016.84/17,871.60
  6. Step 6: Final answer
    x = 17,413.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.