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Finding the Fourth Proportional to 19,738.64, 29,612.73 and 6,591.98

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Solution

The fourth proportional to 19,738.64, 29,612.73 and 6,591.98 is: 9,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.64 : 29,612.73 = 6,591.98 : x
  2. Step 2: Convert to fraction form
    19,738.64/29,612.73 = 6,591.98/x
  3. Step 3: Cross multiply
    19,738.64x = 29,612.73 × 6,591.98
  4. Step 4: Simplify right side
    19,738.64x = 195,206,523.91
  5. Step 5: Solve for x
    x = 195,206,523.91/19,738.64
  6. Step 6: Final answer
    x = 9,889.56

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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.