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Finding the Fourth Proportional to 22,234.77, 33,322.74 and 11,683.23

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Solution

The fourth proportional to 22,234.77, 33,322.74 and 11,683.23 is: 17,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.77 : 33,322.74 = 11,683.23 : x
  2. Step 2: Convert to fraction form
    22,234.77/33,322.74 = 11,683.23/x
  3. Step 3: Cross multiply
    22,234.77x = 33,322.74 × 11,683.23
  4. Step 4: Simplify right side
    22,234.77x = 389,317,235.65
  5. Step 5: Solve for x
    x = 389,317,235.65/22,234.77
  6. Step 6: Final answer
    x = 17,509.39

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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.