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Finding the Fourth Proportional to 20,295.14, 30,441.66 and 7,147.60

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Solution

The fourth proportional to 20,295.14, 30,441.66 and 7,147.60 is: 10,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.14 : 30,441.66 = 7,147.60 : x
  2. Step 2: Convert to fraction form
    20,295.14/30,441.66 = 7,147.60/x
  3. Step 3: Cross multiply
    20,295.14x = 30,441.66 × 7,147.60
  4. Step 4: Simplify right side
    20,295.14x = 217,584,809.02
  5. Step 5: Solve for x
    x = 217,584,809.02/20,295.14
  6. Step 6: Final answer
    x = 10,721.03

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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.