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Finding the Fourth Proportional to 12,207.75, 16,847.05 and 6,902.45

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Solution

The fourth proportional to 12,207.75, 16,847.05 and 6,902.45 is: 9,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.75 : 16,847.05 = 6,902.45 : x
  2. Step 2: Convert to fraction form
    12,207.75/16,847.05 = 6,902.45/x
  3. Step 3: Cross multiply
    12,207.75x = 16,847.05 × 6,902.45
  4. Step 4: Simplify right side
    12,207.75x = 116,285,920.27
  5. Step 5: Solve for x
    x = 116,285,920.27/12,207.75
  6. Step 6: Final answer
    x = 9,525.58

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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.