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Finding the Fourth Proportional to 19,761.60, 29,643.96 and 6,614.03

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Solution

The fourth proportional to 19,761.60, 29,643.96 and 6,614.03 is: 9,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.60 : 29,643.96 = 6,614.03 : x
  2. Step 2: Convert to fraction form
    19,761.60/29,643.96 = 6,614.03/x
  3. Step 3: Cross multiply
    19,761.60x = 29,643.96 × 6,614.03
  4. Step 4: Simplify right side
    19,761.60x = 196,065,892.54
  5. Step 5: Solve for x
    x = 196,065,892.54/19,761.60
  6. Step 6: Final answer
    x = 9,921.56

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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.