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Finding the Fourth Proportional to 12,230.07, 16,884.50 and 8,050.47

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Solution

The fourth proportional to 12,230.07, 16,884.50 and 8,050.47 is: 11,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.07 : 16,884.50 = 8,050.47 : x
  2. Step 2: Convert to fraction form
    12,230.07/16,884.50 = 8,050.47/x
  3. Step 3: Cross multiply
    12,230.07x = 16,884.50 × 8,050.47
  4. Step 4: Simplify right side
    12,230.07x = 135,928,120.46
  5. Step 5: Solve for x
    x = 135,928,120.46/12,230.07
  6. Step 6: Final answer
    x = 11,114.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.