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Finding the Fourth Proportional to 20,865.35, 31,295.58 and 8,384.87

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Solution

The fourth proportional to 20,865.35, 31,295.58 and 8,384.87 is: 12,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.35 : 31,295.58 = 8,384.87 : x
  2. Step 2: Convert to fraction form
    20,865.35/31,295.58 = 8,384.87/x
  3. Step 3: Cross multiply
    20,865.35x = 31,295.58 × 8,384.87
  4. Step 4: Simplify right side
    20,865.35x = 262,409,213.40
  5. Step 5: Solve for x
    x = 262,409,213.40/20,865.35
  6. Step 6: Final answer
    x = 12,576.32

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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.