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Finding the Fourth Proportional to 21,491.88, 32,241.60 and 9,806.28

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Solution

The fourth proportional to 21,491.88, 32,241.60 and 9,806.28 is: 14,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.88 : 32,241.60 = 9,806.28 : x
  2. Step 2: Convert to fraction form
    21,491.88/32,241.60 = 9,806.28/x
  3. Step 3: Cross multiply
    21,491.88x = 32,241.60 × 9,806.28
  4. Step 4: Simplify right side
    21,491.88x = 316,170,157.25
  5. Step 5: Solve for x
    x = 316,170,157.25/21,491.88
  6. Step 6: Final answer
    x = 14,711.14

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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.