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Finding the Fourth Proportional to 20,546.80, 30,808.32 and 8,052.22

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Solution

The fourth proportional to 20,546.80, 30,808.32 and 8,052.22 is: 12,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.80 : 30,808.32 = 8,052.22 : x
  2. Step 2: Convert to fraction form
    20,546.80/30,808.32 = 8,052.22/x
  3. Step 3: Cross multiply
    20,546.80x = 30,808.32 × 8,052.22
  4. Step 4: Simplify right side
    20,546.80x = 248,075,370.47
  5. Step 5: Solve for x
    x = 248,075,370.47/20,546.80
  6. Step 6: Final answer
    x = 12,073.67

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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.