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Finding the Fourth Proportional to 12,193.92, 16,827.92 and 7,412.22

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Solution

The fourth proportional to 12,193.92, 16,827.92 and 7,412.22 is: 10,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.92 : 16,827.92 = 7,412.22 : x
  2. Step 2: Convert to fraction form
    12,193.92/16,827.92 = 7,412.22/x
  3. Step 3: Cross multiply
    12,193.92x = 16,827.92 × 7,412.22
  4. Step 4: Simplify right side
    12,193.92x = 124,732,245.18
  5. Step 5: Solve for x
    x = 124,732,245.18/12,193.92
  6. Step 6: Final answer
    x = 10,229.05

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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.