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Finding the Fourth Proportional to 20,857.85, 31,284.34 and 8,377.37

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Solution

The fourth proportional to 20,857.85, 31,284.34 and 8,377.37 is: 12,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.85 : 31,284.34 = 8,377.37 : x
  2. Step 2: Convert to fraction form
    20,857.85/31,284.34 = 8,377.37/x
  3. Step 3: Cross multiply
    20,857.85x = 31,284.34 × 8,377.37
  4. Step 4: Simplify right side
    20,857.85x = 262,080,314.02
  5. Step 5: Solve for x
    x = 262,080,314.02/20,857.85
  6. Step 6: Final answer
    x = 12,565.07

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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.