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Finding the Fourth Proportional to 22,120.92, 33,186.98 and 6,538.54

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Solution

The fourth proportional to 22,120.92, 33,186.98 and 6,538.54 is: 9,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.92 : 33,186.98 = 6,538.54 : x
  2. Step 2: Convert to fraction form
    22,120.92/33,186.98 = 6,538.54/x
  3. Step 3: Cross multiply
    22,120.92x = 33,186.98 × 6,538.54
  4. Step 4: Simplify right side
    22,120.92x = 216,994,396.21
  5. Step 5: Solve for x
    x = 216,994,396.21/22,120.92
  6. Step 6: Final answer
    x = 9,809.47

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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.