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Finding the Fourth Proportional to 20,402.60, 30,596.70 and 7,255.40

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Solution

The fourth proportional to 20,402.60, 30,596.70 and 7,255.40 is: 10,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.60 : 30,596.70 = 7,255.40 : x
  2. Step 2: Convert to fraction form
    20,402.60/30,596.70 = 7,255.40/x
  3. Step 3: Cross multiply
    20,402.60x = 30,596.70 × 7,255.40
  4. Step 4: Simplify right side
    20,402.60x = 221,991,297.18
  5. Step 5: Solve for x
    x = 221,991,297.18/20,402.60
  6. Step 6: Final answer
    x = 10,880.54

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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.