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Finding the Fourth Proportional to 20,140.70, 30,211.05 and 9,052.70

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Solution

The fourth proportional to 20,140.70, 30,211.05 and 9,052.70 is: 13,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.70 : 30,211.05 = 9,052.70 : x
  2. Step 2: Convert to fraction form
    20,140.70/30,211.05 = 9,052.70/x
  3. Step 3: Cross multiply
    20,140.70x = 30,211.05 × 9,052.70
  4. Step 4: Simplify right side
    20,140.70x = 273,491,572.34
  5. Step 5: Solve for x
    x = 273,491,572.34/20,140.70
  6. Step 6: Final answer
    x = 13,579.05

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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.