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Finding the Fourth Proportional to 12,409.72, 18,618.90 and 5,840.92

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Solution

The fourth proportional to 12,409.72, 18,618.90 and 5,840.92 is: 8,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.72 : 18,618.90 = 5,840.92 : x
  2. Step 2: Convert to fraction form
    12,409.72/18,618.90 = 5,840.92/x
  3. Step 3: Cross multiply
    12,409.72x = 18,618.90 × 5,840.92
  4. Step 4: Simplify right side
    12,409.72x = 108,751,505.39
  5. Step 5: Solve for x
    x = 108,751,505.39/12,409.72
  6. Step 6: Final answer
    x = 8,763.41

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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.