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Finding the Fourth Proportional to 21,213.45, 31,824.77 and 8,066.07

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Solution

The fourth proportional to 21,213.45, 31,824.77 and 8,066.07 is: 12,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.45 : 31,824.77 = 8,066.07 : x
  2. Step 2: Convert to fraction form
    21,213.45/31,824.77 = 8,066.07/x
  3. Step 3: Cross multiply
    21,213.45x = 31,824.77 × 8,066.07
  4. Step 4: Simplify right side
    21,213.45x = 256,700,782.22
  5. Step 5: Solve for x
    x = 256,700,782.22/21,213.45
  6. Step 6: Final answer
    x = 12,100.85

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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.