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Finding the Fourth Proportional to 12,206.23, 16,838.41 and 7,722.43

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Solution

The fourth proportional to 12,206.23, 16,838.41 and 7,722.43 is: 10,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.23 : 16,838.41 = 7,722.43 : x
  2. Step 2: Convert to fraction form
    12,206.23/16,838.41 = 7,722.43/x
  3. Step 3: Cross multiply
    12,206.23x = 16,838.41 × 7,722.43
  4. Step 4: Simplify right side
    12,206.23x = 130,033,442.54
  5. Step 5: Solve for x
    x = 130,033,442.54/12,206.23
  6. Step 6: Final answer
    x = 10,653.04

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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.