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Finding the Fourth Proportional to 22,735.09, 34,039.74 and 11,617.84

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Solution

The fourth proportional to 22,735.09, 34,039.74 and 11,617.84 is: 17,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.09 : 34,039.74 = 11,617.84 : x
  2. Step 2: Convert to fraction form
    22,735.09/34,039.74 = 11,617.84/x
  3. Step 3: Cross multiply
    22,735.09x = 34,039.74 × 11,617.84
  4. Step 4: Simplify right side
    22,735.09x = 395,468,252.96
  5. Step 5: Solve for x
    x = 395,468,252.96/22,735.09
  6. Step 6: Final answer
    x = 17,394.62

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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.