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Finding the Fourth Proportional to 12,206.45, 16,845.23 and 6,902.07

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Solution

The fourth proportional to 12,206.45, 16,845.23 and 6,902.07 is: 9,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.45 : 16,845.23 = 6,902.07 : x
  2. Step 2: Convert to fraction form
    12,206.45/16,845.23 = 6,902.07/x
  3. Step 3: Cross multiply
    12,206.45x = 16,845.23 × 6,902.07
  4. Step 4: Simplify right side
    12,206.45x = 116,266,910.71
  5. Step 5: Solve for x
    x = 116,266,910.71/12,206.45
  6. Step 6: Final answer
    x = 9,525.04

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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.