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Finding the Fourth Proportional to 21,080.15, 31,616.57 and 7,229.15

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Solution

The fourth proportional to 21,080.15, 31,616.57 and 7,229.15 is: 10,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080.15 : 31,616.57 = 7,229.15 : x
  2. Step 2: Convert to fraction form
    21,080.15/31,616.57 = 7,229.15/x
  3. Step 3: Cross multiply
    21,080.15x = 31,616.57 × 7,229.15
  4. Step 4: Simplify right side
    21,080.15x = 228,560,787.01
  5. Step 5: Solve for x
    x = 228,560,787.01/21,080.15
  6. Step 6: Final answer
    x = 10,842.47

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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.