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Finding the Fourth Proportional to 20,415.57, 30,623.37 and 6,376.80

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Solution

The fourth proportional to 20,415.57, 30,623.37 and 6,376.80 is: 9,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.57 : 30,623.37 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    20,415.57/30,623.37 = 6,376.80/x
  3. Step 3: Cross multiply
    20,415.57x = 30,623.37 × 6,376.80
  4. Step 4: Simplify right side
    20,415.57x = 195,279,105.82
  5. Step 5: Solve for x
    x = 195,279,105.82/20,415.57
  6. Step 6: Final answer
    x = 9,565.20

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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.