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Finding the Fourth Proportional to 21,170.28, 31,755.60 and 8,019.12

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Solution

The fourth proportional to 21,170.28, 31,755.60 and 8,019.12 is: 12,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.28 : 31,755.60 = 8,019.12 : x
  2. Step 2: Convert to fraction form
    21,170.28/31,755.60 = 8,019.12/x
  3. Step 3: Cross multiply
    21,170.28x = 31,755.60 × 8,019.12
  4. Step 4: Simplify right side
    21,170.28x = 254,651,967.07
  5. Step 5: Solve for x
    x = 254,651,967.07/21,170.28
  6. Step 6: Final answer
    x = 12,028.75

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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.