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Finding the Fourth Proportional to 14,449.50, 19,940.31 and 7,825.50

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Solution

The fourth proportional to 14,449.50, 19,940.31 and 7,825.50 is: 10,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.50 : 19,940.31 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    14,449.50/19,940.31 = 7,825.50/x
  3. Step 3: Cross multiply
    14,449.50x = 19,940.31 × 7,825.50
  4. Step 4: Simplify right side
    14,449.50x = 156,042,895.91
  5. Step 5: Solve for x
    x = 156,042,895.91/14,449.50
  6. Step 6: Final answer
    x = 10,799.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.