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Finding the Fourth Proportional to 21,774.24, 30,052.80 and 13,825.80

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Solution

The fourth proportional to 21,774.24, 30,052.80 and 13,825.80 is: 19,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.24 : 30,052.80 = 13,825.80 : x
  2. Step 2: Convert to fraction form
    21,774.24/30,052.80 = 13,825.80/x
  3. Step 3: Cross multiply
    21,774.24x = 30,052.80 × 13,825.80
  4. Step 4: Simplify right side
    21,774.24x = 415,504,002.24
  5. Step 5: Solve for x
    x = 415,504,002.24/21,774.24
  6. Step 6: Final answer
    x = 19,082.37

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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.