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Finding the Fourth Proportional to 20,458.60, 30,680.70 and 7,311.40

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Solution

The fourth proportional to 20,458.60, 30,680.70 and 7,311.40 is: 10,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.60 : 30,680.70 = 7,311.40 : x
  2. Step 2: Convert to fraction form
    20,458.60/30,680.70 = 7,311.40/x
  3. Step 3: Cross multiply
    20,458.60x = 30,680.70 × 7,311.40
  4. Step 4: Simplify right side
    20,458.60x = 224,318,869.98
  5. Step 5: Solve for x
    x = 224,318,869.98/20,458.60
  6. Step 6: Final answer
    x = 10,964.53

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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.