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Finding the Fourth Proportional to 21,450.90, 32,180.64 and 7,411.44

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Solution

The fourth proportional to 21,450.90, 32,180.64 and 7,411.44 is: 11,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450.90 : 32,180.64 = 7,411.44 : x
  2. Step 2: Convert to fraction form
    21,450.90/32,180.64 = 7,411.44/x
  3. Step 3: Cross multiply
    21,450.90x = 32,180.64 × 7,411.44
  4. Step 4: Simplify right side
    21,450.90x = 238,504,882.52
  5. Step 5: Solve for x
    x = 238,504,882.52/21,450.90
  6. Step 6: Final answer
    x = 11,118.64

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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.