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Finding the Fourth Proportional to 20,124.50, 30,188.42 and 6,273.50

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Solution

The fourth proportional to 20,124.50, 30,188.42 and 6,273.50 is: 9,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.50 : 30,188.42 = 6,273.50 : x
  2. Step 2: Convert to fraction form
    20,124.50/30,188.42 = 6,273.50/x
  3. Step 3: Cross multiply
    20,124.50x = 30,188.42 × 6,273.50
  4. Step 4: Simplify right side
    20,124.50x = 189,387,052.87
  5. Step 5: Solve for x
    x = 189,387,052.87/20,124.50
  6. Step 6: Final answer
    x = 9,410.77

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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.