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Finding the Fourth Proportional to 21,890.68, 32,821.03 and 7,850.41

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Solution

The fourth proportional to 21,890.68, 32,821.03 and 7,850.41 is: 11,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890.68 : 32,821.03 = 7,850.41 : x
  2. Step 2: Convert to fraction form
    21,890.68/32,821.03 = 7,850.41/x
  3. Step 3: Cross multiply
    21,890.68x = 32,821.03 × 7,850.41
  4. Step 4: Simplify right side
    21,890.68x = 257,658,461.84
  5. Step 5: Solve for x
    x = 257,658,461.84/21,890.68
  6. Step 6: Final answer
    x = 11,770.23

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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.