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Finding the Fourth Proportional to 14,414.64, 21,610.44 and 5,647.92

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Solution

The fourth proportional to 14,414.64, 21,610.44 and 5,647.92 is: 8,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.64 : 21,610.44 = 5,647.92 : x
  2. Step 2: Convert to fraction form
    14,414.64/21,610.44 = 5,647.92/x
  3. Step 3: Cross multiply
    14,414.64x = 21,610.44 × 5,647.92
  4. Step 4: Simplify right side
    14,414.64x = 122,054,036.28
  5. Step 5: Solve for x
    x = 122,054,036.28/14,414.64
  6. Step 6: Final answer
    x = 8,467.37

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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.