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Finding the Fourth Proportional to 21,186.80, 31,768.20 and 8,039.60

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Solution

The fourth proportional to 21,186.80, 31,768.20 and 8,039.60 is: 12,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.80 : 31,768.20 = 8,039.60 : x
  2. Step 2: Convert to fraction form
    21,186.80/31,768.20 = 8,039.60/x
  3. Step 3: Cross multiply
    21,186.80x = 31,768.20 × 8,039.60
  4. Step 4: Simplify right side
    21,186.80x = 255,403,620.72
  5. Step 5: Solve for x
    x = 255,403,620.72/21,186.80
  6. Step 6: Final answer
    x = 12,054.85

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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.