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Finding the Fourth Proportional to 21,144.64, 31,716.96 and 8,824

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Solution

The fourth proportional to 21,144.64, 31,716.96 and 8,824 is: 13,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.64 : 31,716.96 = 8,824 : x
  2. Step 2: Convert to fraction form
    21,144.64/31,716.96 = 8,824/x
  3. Step 3: Cross multiply
    21,144.64x = 31,716.96 × 8,824
  4. Step 4: Simplify right side
    21,144.64x = 279,870,455.04
  5. Step 5: Solve for x
    x = 279,870,455.04/21,144.64
  6. Step 6: Final answer
    x = 13,236.00

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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.