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Finding the Fourth Proportional to 21,900, 30,222.05 and 12,468.56

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Solution

The fourth proportional to 21,900, 30,222.05 and 12,468.56 is: 17,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900 : 30,222.05 = 12,468.56 : x
  2. Step 2: Convert to fraction form
    21,900/30,222.05 = 12,468.56/x
  3. Step 3: Cross multiply
    21,900x = 30,222.05 × 12,468.56
  4. Step 4: Simplify right side
    21,900x = 376,825,456.96
  5. Step 5: Solve for x
    x = 376,825,456.96/21,900
  6. Step 6: Final answer
    x = 17,206.64

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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.