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Finding the Fourth Proportional to 12,073.44, 18,114.72 and 8,214.24

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Solution

The fourth proportional to 12,073.44, 18,114.72 and 8,214.24 is: 12,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.44 : 18,114.72 = 8,214.24 : x
  2. Step 2: Convert to fraction form
    12,073.44/18,114.72 = 8,214.24/x
  3. Step 3: Cross multiply
    12,073.44x = 18,114.72 × 8,214.24
  4. Step 4: Simplify right side
    12,073.44x = 148,798,657.61
  5. Step 5: Solve for x
    x = 148,798,657.61/12,073.44
  6. Step 6: Final answer
    x = 12,324.46

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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.