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Finding the Fourth Proportional to 20,046.42, 30,069.36 and 11,778.89

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Solution

The fourth proportional to 20,046.42, 30,069.36 and 11,778.89 is: 17,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.42 : 30,069.36 = 11,778.89 : x
  2. Step 2: Convert to fraction form
    20,046.42/30,069.36 = 11,778.89/x
  3. Step 3: Cross multiply
    20,046.42x = 30,069.36 × 11,778.89
  4. Step 4: Simplify right side
    20,046.42x = 354,183,533.46
  5. Step 5: Solve for x
    x = 354,183,533.46/20,046.42
  6. Step 6: Final answer
    x = 17,668.17

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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.