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Finding the Fourth Proportional to 11,222.65, 16,838.83 and 6,022.45

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Solution

The fourth proportional to 11,222.65, 16,838.83 and 6,022.45 is: 9,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.65 : 16,838.83 = 6,022.45 : x
  2. Step 2: Convert to fraction form
    11,222.65/16,838.83 = 6,022.45/x
  3. Step 3: Cross multiply
    11,222.65x = 16,838.83 × 6,022.45
  4. Step 4: Simplify right side
    11,222.65x = 101,410,927.54
  5. Step 5: Solve for x
    x = 101,410,927.54/11,222.65
  6. Step 6: Final answer
    x = 9,036.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.