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Finding the Fourth Proportional to 12,027.40, 18,041.34 and 4,129.86

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Solution

The fourth proportional to 12,027.40, 18,041.34 and 4,129.86 is: 6,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.40 : 18,041.34 = 4,129.86 : x
  2. Step 2: Convert to fraction form
    12,027.40/18,041.34 = 4,129.86/x
  3. Step 3: Cross multiply
    12,027.40x = 18,041.34 × 4,129.86
  4. Step 4: Simplify right side
    12,027.40x = 74,508,208.41
  5. Step 5: Solve for x
    x = 74,508,208.41/12,027.40
  6. Step 6: Final answer
    x = 6,194.87

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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.