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Finding the Fourth Proportional to 12,326.85, 18,484.74 and 5,754.96

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Solution

The fourth proportional to 12,326.85, 18,484.74 and 5,754.96 is: 8,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.85 : 18,484.74 = 5,754.96 : x
  2. Step 2: Convert to fraction form
    12,326.85/18,484.74 = 5,754.96/x
  3. Step 3: Cross multiply
    12,326.85x = 18,484.74 × 5,754.96
  4. Step 4: Simplify right side
    12,326.85x = 106,378,939.31
  5. Step 5: Solve for x
    x = 106,378,939.31/12,326.85
  6. Step 6: Final answer
    x = 8,629.86

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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.