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Finding the Fourth Proportional to 19,516.16, 29,249.73 and 8,409.85

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Solution

The fourth proportional to 19,516.16, 29,249.73 and 8,409.85 is: 12,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.16 : 29,249.73 = 8,409.85 : x
  2. Step 2: Convert to fraction form
    19,516.16/29,249.73 = 8,409.85/x
  3. Step 3: Cross multiply
    19,516.16x = 29,249.73 × 8,409.85
  4. Step 4: Simplify right side
    19,516.16x = 245,985,768.72
  5. Step 5: Solve for x
    x = 245,985,768.72/19,516.16
  6. Step 6: Final answer
    x = 12,604.21

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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.