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Finding the Fourth Proportional to 12,014.42, 18,021.62 and 5,440.46

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Solution

The fourth proportional to 12,014.42, 18,021.62 and 5,440.46 is: 8,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.42 : 18,021.62 = 5,440.46 : x
  2. Step 2: Convert to fraction form
    12,014.42/18,021.62 = 5,440.46/x
  3. Step 3: Cross multiply
    12,014.42x = 18,021.62 × 5,440.46
  4. Step 4: Simplify right side
    12,014.42x = 98,045,785.43
  5. Step 5: Solve for x
    x = 98,045,785.43/12,014.42
  6. Step 6: Final answer
    x = 8,160.68

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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.