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Finding the Fourth Proportional to 16,517.86, 22,794.54 and 8,964

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Solution

The fourth proportional to 16,517.86, 22,794.54 and 8,964 is: 12,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.86 : 22,794.54 = 8,964 : x
  2. Step 2: Convert to fraction form
    16,517.86/22,794.54 = 8,964/x
  3. Step 3: Cross multiply
    16,517.86x = 22,794.54 × 8,964
  4. Step 4: Simplify right side
    16,517.86x = 204,330,256.56
  5. Step 5: Solve for x
    x = 204,330,256.56/16,517.86
  6. Step 6: Final answer
    x = 12,370.26

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