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Finding the Fourth Proportional to 21,766.40, 32,651.76 and 7,912.16

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Solution

The fourth proportional to 21,766.40, 32,651.76 and 7,912.16 is: 11,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.40 : 32,651.76 = 7,912.16 : x
  2. Step 2: Convert to fraction form
    21,766.40/32,651.76 = 7,912.16/x
  3. Step 3: Cross multiply
    21,766.40x = 32,651.76 × 7,912.16
  4. Step 4: Simplify right side
    21,766.40x = 258,345,949.40
  5. Step 5: Solve for x
    x = 258,345,949.40/21,766.40
  6. Step 6: Final answer
    x = 11,869.03

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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.