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Finding the Fourth Proportional to 21,674.10, 32,511.25 and 9,190.99

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Solution

The fourth proportional to 21,674.10, 32,511.25 and 9,190.99 is: 13,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.10 : 32,511.25 = 9,190.99 : x
  2. Step 2: Convert to fraction form
    21,674.10/32,511.25 = 9,190.99/x
  3. Step 3: Cross multiply
    21,674.10x = 32,511.25 × 9,190.99
  4. Step 4: Simplify right side
    21,674.10x = 298,810,573.64
  5. Step 5: Solve for x
    x = 298,810,573.64/21,674.10
  6. Step 6: Final answer
    x = 13,786.53

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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.