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Finding the Fourth Proportional to 23,993.64, 36,006.53 and 8,411.27

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Solution

The fourth proportional to 23,993.64, 36,006.53 and 8,411.27 is: 12,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.64 : 36,006.53 = 8,411.27 : x
  2. Step 2: Convert to fraction form
    23,993.64/36,006.53 = 8,411.27/x
  3. Step 3: Cross multiply
    23,993.64x = 36,006.53 × 8,411.27
  4. Step 4: Simplify right side
    23,993.64x = 302,860,645.59
  5. Step 5: Solve for x
    x = 302,860,645.59/23,993.64
  6. Step 6: Final answer
    x = 12,622.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.