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Finding the Fourth Proportional to 20,858.85, 31,285.84 and 8,378.37

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Solution

The fourth proportional to 20,858.85, 31,285.84 and 8,378.37 is: 12,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.85 : 31,285.84 = 8,378.37 : x
  2. Step 2: Convert to fraction form
    20,858.85/31,285.84 = 8,378.37/x
  3. Step 3: Cross multiply
    20,858.85x = 31,285.84 × 8,378.37
  4. Step 4: Simplify right side
    20,858.85x = 262,124,343.28
  5. Step 5: Solve for x
    x = 262,124,343.28/20,858.85
  6. Step 6: Final answer
    x = 12,566.58

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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.