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Finding the Fourth Proportional to 12,633.86, 18,951.46 and 5,612.22

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Solution

The fourth proportional to 12,633.86, 18,951.46 and 5,612.22 is: 8,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.86 : 18,951.46 = 5,612.22 : x
  2. Step 2: Convert to fraction form
    12,633.86/18,951.46 = 5,612.22/x
  3. Step 3: Cross multiply
    12,633.86x = 18,951.46 × 5,612.22
  4. Step 4: Simplify right side
    12,633.86x = 106,359,748.81
  5. Step 5: Solve for x
    x = 106,359,748.81/12,633.86
  6. Step 6: Final answer
    x = 8,418.62

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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.