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Finding the Fourth Proportional to 20,187.76, 30,280.50 and 6,147.48

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Solution

The fourth proportional to 20,187.76, 30,280.50 and 6,147.48 is: 9,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.76 : 30,280.50 = 6,147.48 : x
  2. Step 2: Convert to fraction form
    20,187.76/30,280.50 = 6,147.48/x
  3. Step 3: Cross multiply
    20,187.76x = 30,280.50 × 6,147.48
  4. Step 4: Simplify right side
    20,187.76x = 186,148,768.14
  5. Step 5: Solve for x
    x = 186,148,768.14/20,187.76
  6. Step 6: Final answer
    x = 9,220.87

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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.