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Finding the Fourth Proportional to 19,683.72, 29,514.73 and 13,450.77

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Solution

The fourth proportional to 19,683.72, 29,514.73 and 13,450.77 is: 20,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.72 : 29,514.73 = 13,450.77 : x
  2. Step 2: Convert to fraction form
    19,683.72/29,514.73 = 13,450.77/x
  3. Step 3: Cross multiply
    19,683.72x = 29,514.73 × 13,450.77
  4. Step 4: Simplify right side
    19,683.72x = 396,995,844.84
  5. Step 5: Solve for x
    x = 396,995,844.84/19,683.72
  6. Step 6: Final answer
    x = 20,168.74

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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.