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Finding the Fourth Proportional to 21,100.20, 31,650.94 and 7,249

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Solution

The fourth proportional to 21,100.20, 31,650.94 and 7,249 is: 10,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.20 : 31,650.94 = 7,249 : x
  2. Step 2: Convert to fraction form
    21,100.20/31,650.94 = 7,249/x
  3. Step 3: Cross multiply
    21,100.20x = 31,650.94 × 7,249
  4. Step 4: Simplify right side
    21,100.20x = 229,437,664.06
  5. Step 5: Solve for x
    x = 229,437,664.06/21,100.20
  6. Step 6: Final answer
    x = 10,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.