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Finding the Fourth Proportional to 21,848, 30,150.24 and 11,912

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Solution

The fourth proportional to 21,848, 30,150.24 and 11,912 is: 16,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 30,150.24 = 11,912 : x
  2. Step 2: Convert to fraction form
    21,848/30,150.24 = 11,912/x
  3. Step 3: Cross multiply
    21,848x = 30,150.24 × 11,912
  4. Step 4: Simplify right side
    21,848x = 359,149,658.88
  5. Step 5: Solve for x
    x = 359,149,658.88/21,848
  6. Step 6: Final answer
    x = 16,438.56

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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.