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Finding the Fourth Proportional to 12,206, 16,835.58 and 7,949.24

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Solution

The fourth proportional to 12,206, 16,835.58 and 7,949.24 is: 10,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 16,835.58 = 7,949.24 : x
  2. Step 2: Convert to fraction form
    12,206/16,835.58 = 7,949.24/x
  3. Step 3: Cross multiply
    12,206x = 16,835.58 × 7,949.24
  4. Step 4: Simplify right side
    12,206x = 133,830,065.96
  5. Step 5: Solve for x
    x = 133,830,065.96/12,206
  6. Step 6: Final answer
    x = 10,964.29

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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.