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Finding the Fourth Proportional to 22,993.44, 34,495.68 and 13,640.64

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Solution

The fourth proportional to 22,993.44, 34,495.68 and 13,640.64 is: 20,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.44 : 34,495.68 = 13,640.64 : x
  2. Step 2: Convert to fraction form
    22,993.44/34,495.68 = 13,640.64/x
  3. Step 3: Cross multiply
    22,993.44x = 34,495.68 × 13,640.64
  4. Step 4: Simplify right side
    22,993.44x = 470,543,152.44
  5. Step 5: Solve for x
    x = 470,543,152.44/22,993.44
  6. Step 6: Final answer
    x = 20,464.23

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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.