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Finding the Fourth Proportional to 21,765.07, 32,649.96 and 9,286.41

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Solution

The fourth proportional to 21,765.07, 32,649.96 and 9,286.41 is: 13,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.07 : 32,649.96 = 9,286.41 : x
  2. Step 2: Convert to fraction form
    21,765.07/32,649.96 = 9,286.41/x
  3. Step 3: Cross multiply
    21,765.07x = 32,649.96 × 9,286.41
  4. Step 4: Simplify right side
    21,765.07x = 303,200,915.04
  5. Step 5: Solve for x
    x = 303,200,915.04/21,765.07
  6. Step 6: Final answer
    x = 13,930.62

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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.