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Finding the Fourth Proportional to 22,398, 33,601.86 and 6,815.22

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Solution

The fourth proportional to 22,398, 33,601.86 and 6,815.22 is: 10,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398 : 33,601.86 = 6,815.22 : x
  2. Step 2: Convert to fraction form
    22,398/33,601.86 = 6,815.22/x
  3. Step 3: Cross multiply
    22,398x = 33,601.86 × 6,815.22
  4. Step 4: Simplify right side
    22,398x = 229,004,051.27
  5. Step 5: Solve for x
    x = 229,004,051.27/22,398
  6. Step 6: Final answer
    x = 10,224.31

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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.