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Finding the Fourth Proportional to 30,220.92, 41,701.14 and 18,289.80

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Solution

The fourth proportional to 30,220.92, 41,701.14 and 18,289.80 is: 25,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.92 : 41,701.14 = 18,289.80 : x
  2. Step 2: Convert to fraction form
    30,220.92/41,701.14 = 18,289.80/x
  3. Step 3: Cross multiply
    30,220.92x = 41,701.14 × 18,289.80
  4. Step 4: Simplify right side
    30,220.92x = 762,705,510.37
  5. Step 5: Solve for x
    x = 762,705,510.37/30,220.92
  6. Step 6: Final answer
    x = 25,237.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.