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Finding the Fourth Proportional to 21,906.24, 30,234.08 and 13,952

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Solution

The fourth proportional to 21,906.24, 30,234.08 and 13,952 is: 19,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.24 : 30,234.08 = 13,952 : x
  2. Step 2: Convert to fraction form
    21,906.24/30,234.08 = 13,952/x
  3. Step 3: Cross multiply
    21,906.24x = 30,234.08 × 13,952
  4. Step 4: Simplify right side
    21,906.24x = 421,825,884.16
  5. Step 5: Solve for x
    x = 421,825,884.16/21,906.24
  6. Step 6: Final answer
    x = 19,255.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.