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Finding the Fourth Proportional to 20,173.69, 30,260.49 and 6,133.66

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Solution

The fourth proportional to 20,173.69, 30,260.49 and 6,133.66 is: 9,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.69 : 30,260.49 = 6,133.66 : x
  2. Step 2: Convert to fraction form
    20,173.69/30,260.49 = 6,133.66/x
  3. Step 3: Cross multiply
    20,173.69x = 30,260.49 × 6,133.66
  4. Step 4: Simplify right side
    20,173.69x = 185,607,458.44
  5. Step 5: Solve for x
    x = 185,607,458.44/20,173.69
  6. Step 6: Final answer
    x = 9,200.47

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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.