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Finding the Fourth Proportional to 21,189.13, 31,771.38 and 8,034.32

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Solution

The fourth proportional to 21,189.13, 31,771.38 and 8,034.32 is: 12,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.13 : 31,771.38 = 8,034.32 : x
  2. Step 2: Convert to fraction form
    21,189.13/31,771.38 = 8,034.32/x
  3. Step 3: Cross multiply
    21,189.13x = 31,771.38 × 8,034.32
  4. Step 4: Simplify right side
    21,189.13x = 255,261,433.76
  5. Step 5: Solve for x
    x = 255,261,433.76/21,189.13
  6. Step 6: Final answer
    x = 12,046.81

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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.