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Finding the Fourth Proportional to 14,467.38, 21,696.75 and 5,105.64

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Solution

The fourth proportional to 14,467.38, 21,696.75 and 5,105.64 is: 7,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.38 : 21,696.75 = 5,105.64 : x
  2. Step 2: Convert to fraction form
    14,467.38/21,696.75 = 5,105.64/x
  3. Step 3: Cross multiply
    14,467.38x = 21,696.75 × 5,105.64
  4. Step 4: Simplify right side
    14,467.38x = 110,775,794.67
  5. Step 5: Solve for x
    x = 110,775,794.67/14,467.38
  6. Step 6: Final answer
    x = 7,656.94

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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.