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Finding the Fourth Proportional to 16,512.40, 24,768.60 and 12,149.20

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Solution

The fourth proportional to 16,512.40, 24,768.60 and 12,149.20 is: 18,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.40 : 24,768.60 = 12,149.20 : x
  2. Step 2: Convert to fraction form
    16,512.40/24,768.60 = 12,149.20/x
  3. Step 3: Cross multiply
    16,512.40x = 24,768.60 × 12,149.20
  4. Step 4: Simplify right side
    16,512.40x = 300,918,675.12
  5. Step 5: Solve for x
    x = 300,918,675.12/16,512.40
  6. Step 6: Final answer
    x = 18,223.80

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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.