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Finding the Fourth Proportional to 12,633.72, 18,958.78 and 5,708.28

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Solution

The fourth proportional to 12,633.72, 18,958.78 and 5,708.28 is: 8,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.72 : 18,958.78 = 5,708.28 : x
  2. Step 2: Convert to fraction form
    12,633.72/18,958.78 = 5,708.28/x
  3. Step 3: Cross multiply
    12,633.72x = 18,958.78 × 5,708.28
  4. Step 4: Simplify right side
    12,633.72x = 108,222,024.70
  5. Step 5: Solve for x
    x = 108,222,024.70/12,633.72
  6. Step 6: Final answer
    x = 8,566.12

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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.