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Finding the Fourth Proportional to 20,542.23, 30,817.98 and 7,394.67

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Solution

The fourth proportional to 20,542.23, 30,817.98 and 7,394.67 is: 11,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.23 : 30,817.98 = 7,394.67 : x
  2. Step 2: Convert to fraction form
    20,542.23/30,817.98 = 7,394.67/x
  3. Step 3: Cross multiply
    20,542.23x = 30,817.98 × 7,394.67
  4. Step 4: Simplify right side
    20,542.23x = 227,888,792.17
  5. Step 5: Solve for x
    x = 227,888,792.17/20,542.23
  6. Step 6: Final answer
    x = 11,093.67

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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.