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Finding the Fourth Proportional to 19,683.64, 29,496.30 and 16,198.41

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Solution

The fourth proportional to 19,683.64, 29,496.30 and 16,198.41 is: 24,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.64 : 29,496.30 = 16,198.41 : x
  2. Step 2: Convert to fraction form
    19,683.64/29,496.30 = 16,198.41/x
  3. Step 3: Cross multiply
    19,683.64x = 29,496.30 × 16,198.41
  4. Step 4: Simplify right side
    19,683.64x = 477,793,160.88
  5. Step 5: Solve for x
    x = 477,793,160.88/19,683.64
  6. Step 6: Final answer
    x = 24,273.62

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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.