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Finding the Fourth Proportional to 16,495.86, 22,764.32 and 8,942.19

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Solution

The fourth proportional to 16,495.86, 22,764.32 and 8,942.19 is: 12,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.86 : 22,764.32 = 8,942.19 : x
  2. Step 2: Convert to fraction form
    16,495.86/22,764.32 = 8,942.19/x
  3. Step 3: Cross multiply
    16,495.86x = 22,764.32 × 8,942.19
  4. Step 4: Simplify right side
    16,495.86x = 203,562,874.66
  5. Step 5: Solve for x
    x = 203,562,874.66/16,495.86
  6. Step 6: Final answer
    x = 12,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.