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Finding the Fourth Proportional to 12,023.94, 18,035.91 and 8,305.86

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Solution

The fourth proportional to 12,023.94, 18,035.91 and 8,305.86 is: 12,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.94 : 18,035.91 = 8,305.86 : x
  2. Step 2: Convert to fraction form
    12,023.94/18,035.91 = 8,305.86/x
  3. Step 3: Cross multiply
    12,023.94x = 18,035.91 × 8,305.86
  4. Step 4: Simplify right side
    12,023.94x = 149,803,743.43
  5. Step 5: Solve for x
    x = 149,803,743.43/12,023.94
  6. Step 6: Final answer
    x = 12,458.79

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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.