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Finding the Fourth Proportional to 22,333.40, 33,499.17 and 5,693.84

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Solution

The fourth proportional to 22,333.40, 33,499.17 and 5,693.84 is: 8,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.40 : 33,499.17 = 5,693.84 : x
  2. Step 2: Convert to fraction form
    22,333.40/33,499.17 = 5,693.84/x
  3. Step 3: Cross multiply
    22,333.40x = 33,499.17 × 5,693.84
  4. Step 4: Simplify right side
    22,333.40x = 190,738,914.11
  5. Step 5: Solve for x
    x = 190,738,914.11/22,333.40
  6. Step 6: Final answer
    x = 8,540.52

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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.