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Finding the Fourth Proportional to 21,205.89, 31,811.49 and 6,974.10

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Solution

The fourth proportional to 21,205.89, 31,811.49 and 6,974.10 is: 10,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.89 : 31,811.49 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    21,205.89/31,811.49 = 6,974.10/x
  3. Step 3: Cross multiply
    21,205.89x = 31,811.49 × 6,974.10
  4. Step 4: Simplify right side
    21,205.89x = 221,856,512.41
  5. Step 5: Solve for x
    x = 221,856,512.41/21,205.89
  6. Step 6: Final answer
    x = 10,462.02

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