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Finding the Fourth Proportional to 20,057.63, 30,087.14 and 9,522.23

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Solution

The fourth proportional to 20,057.63, 30,087.14 and 9,522.23 is: 14,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.63 : 30,087.14 = 9,522.23 : x
  2. Step 2: Convert to fraction form
    20,057.63/30,087.14 = 9,522.23/x
  3. Step 3: Cross multiply
    20,057.63x = 30,087.14 × 9,522.23
  4. Step 4: Simplify right side
    20,057.63x = 286,496,469.08
  5. Step 5: Solve for x
    x = 286,496,469.08/20,057.63
  6. Step 6: Final answer
    x = 14,283.67

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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.