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Finding the Fourth Proportional to 20,348.42, 30,518.78 and 6,306.66

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Solution

The fourth proportional to 20,348.42, 30,518.78 and 6,306.66 is: 9,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.42 : 30,518.78 = 6,306.66 : x
  2. Step 2: Convert to fraction form
    20,348.42/30,518.78 = 6,306.66/x
  3. Step 3: Cross multiply
    20,348.42x = 30,518.78 × 6,306.66
  4. Step 4: Simplify right side
    20,348.42x = 192,471,537.54
  5. Step 5: Solve for x
    x = 192,471,537.54/20,348.42
  6. Step 6: Final answer
    x = 9,458.80

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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.