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Finding the Fourth Proportional to 22,164.69, 33,219.27 and 11,074.47

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Solution

The fourth proportional to 22,164.69, 33,219.27 and 11,074.47 is: 16,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.69 : 33,219.27 = 11,074.47 : x
  2. Step 2: Convert to fraction form
    22,164.69/33,219.27 = 11,074.47/x
  3. Step 3: Cross multiply
    22,164.69x = 33,219.27 × 11,074.47
  4. Step 4: Simplify right side
    22,164.69x = 367,885,809.04
  5. Step 5: Solve for x
    x = 367,885,809.04/22,164.69
  6. Step 6: Final answer
    x = 16,597.83

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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.