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Finding the Fourth Proportional to 12,245.74, 16,902.94 and 7,209.56

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Solution

The fourth proportional to 12,245.74, 16,902.94 and 7,209.56 is: 9,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.74 : 16,902.94 = 7,209.56 : x
  2. Step 2: Convert to fraction form
    12,245.74/16,902.94 = 7,209.56/x
  3. Step 3: Cross multiply
    12,245.74x = 16,902.94 × 7,209.56
  4. Step 4: Simplify right side
    12,245.74x = 121,862,760.11
  5. Step 5: Solve for x
    x = 121,862,760.11/12,245.74
  6. Step 6: Final answer
    x = 9,951.44

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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.