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Finding the Fourth Proportional to 19,772.64, 29,662.98 and 8,086.80

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Solution

The fourth proportional to 19,772.64, 29,662.98 and 8,086.80 is: 12,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.64 : 29,662.98 = 8,086.80 : x
  2. Step 2: Convert to fraction form
    19,772.64/29,662.98 = 8,086.80/x
  3. Step 3: Cross multiply
    19,772.64x = 29,662.98 × 8,086.80
  4. Step 4: Simplify right side
    19,772.64x = 239,878,586.66
  5. Step 5: Solve for x
    x = 239,878,586.66/19,772.64
  6. Step 6: Final answer
    x = 12,131.84

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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.