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Finding the Fourth Proportional to 22,817.22, 34,229.11 and 7,023.60

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Solution

The fourth proportional to 22,817.22, 34,229.11 and 7,023.60 is: 10,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.22 : 34,229.11 = 7,023.60 : x
  2. Step 2: Convert to fraction form
    22,817.22/34,229.11 = 7,023.60/x
  3. Step 3: Cross multiply
    22,817.22x = 34,229.11 × 7,023.60
  4. Step 4: Simplify right side
    22,817.22x = 240,411,405.85
  5. Step 5: Solve for x
    x = 240,411,405.85/22,817.22
  6. Step 6: Final answer
    x = 10,536.40

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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.