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Finding the Fourth Proportional to 22,005, 33,007.77 and 8,154

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Solution

The fourth proportional to 22,005, 33,007.77 and 8,154 is: 12,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 33,007.77 = 8,154 : x
  2. Step 2: Convert to fraction form
    22,005/33,007.77 = 8,154/x
  3. Step 3: Cross multiply
    22,005x = 33,007.77 × 8,154
  4. Step 4: Simplify right side
    22,005x = 269,145,356.58
  5. Step 5: Solve for x
    x = 269,145,356.58/22,005
  6. Step 6: Final answer
    x = 12,231.10

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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.