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Finding the Fourth Proportional to 13,706.76, 20,556.90 and 6,306.60

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Solution

The fourth proportional to 13,706.76, 20,556.90 and 6,306.60 is: 9,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.76 : 20,556.90 = 6,306.60 : x
  2. Step 2: Convert to fraction form
    13,706.76/20,556.90 = 6,306.60/x
  3. Step 3: Cross multiply
    13,706.76x = 20,556.90 × 6,306.60
  4. Step 4: Simplify right side
    13,706.76x = 129,644,145.54
  5. Step 5: Solve for x
    x = 129,644,145.54/13,706.76
  6. Step 6: Final answer
    x = 9,458.41

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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.