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Finding the Fourth Proportional to 19,687.25, 29,530.46 and 6,539.73

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Solution

The fourth proportional to 19,687.25, 29,530.46 and 6,539.73 is: 9,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.25 : 29,530.46 = 6,539.73 : x
  2. Step 2: Convert to fraction form
    19,687.25/29,530.46 = 6,539.73/x
  3. Step 3: Cross multiply
    19,687.25x = 29,530.46 × 6,539.73
  4. Step 4: Simplify right side
    19,687.25x = 193,121,202.48
  5. Step 5: Solve for x
    x = 193,121,202.48/19,687.25
  6. Step 6: Final answer
    x = 9,809.46

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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.