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Finding the Fourth Proportional to 19,786.20, 29,674.50 and 6,635.16

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Solution

The fourth proportional to 19,786.20, 29,674.50 and 6,635.16 is: 9,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.20 : 29,674.50 = 6,635.16 : x
  2. Step 2: Convert to fraction form
    19,786.20/29,674.50 = 6,635.16/x
  3. Step 3: Cross multiply
    19,786.20x = 29,674.50 × 6,635.16
  4. Step 4: Simplify right side
    19,786.20x = 196,895,055.42
  5. Step 5: Solve for x
    x = 196,895,055.42/19,786.20
  6. Step 6: Final answer
    x = 9,951.13

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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.