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Finding the Fourth Proportional to 22,269.94, 30,731.05 and 12,198.50

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Solution

The fourth proportional to 22,269.94, 30,731.05 and 12,198.50 is: 16,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.94 : 30,731.05 = 12,198.50 : x
  2. Step 2: Convert to fraction form
    22,269.94/30,731.05 = 12,198.50/x
  3. Step 3: Cross multiply
    22,269.94x = 30,731.05 × 12,198.50
  4. Step 4: Simplify right side
    22,269.94x = 374,872,621.64
  5. Step 5: Solve for x
    x = 374,872,621.64/22,269.94
  6. Step 6: Final answer
    x = 16,833.12

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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.