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Finding the Fourth Proportional to 12,197.92, 18,281.88 and 5,614.96

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Solution

The fourth proportional to 12,197.92, 18,281.88 and 5,614.96 is: 8,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.92 : 18,281.88 = 5,614.96 : x
  2. Step 2: Convert to fraction form
    12,197.92/18,281.88 = 5,614.96/x
  3. Step 3: Cross multiply
    12,197.92x = 18,281.88 × 5,614.96
  4. Step 4: Simplify right side
    12,197.92x = 102,652,024.92
  5. Step 5: Solve for x
    x = 102,652,024.92/12,197.92
  6. Step 6: Final answer
    x = 8,415.54

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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.