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Finding the Fourth Proportional to 20,735.46, 31,103.19 and 6,884.46

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Solution

The fourth proportional to 20,735.46, 31,103.19 and 6,884.46 is: 10,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.46 : 31,103.19 = 6,884.46 : x
  2. Step 2: Convert to fraction form
    20,735.46/31,103.19 = 6,884.46/x
  3. Step 3: Cross multiply
    20,735.46x = 31,103.19 × 6,884.46
  4. Step 4: Simplify right side
    20,735.46x = 214,128,762.40
  5. Step 5: Solve for x
    x = 214,128,762.40/20,735.46
  6. Step 6: Final answer
    x = 10,326.69

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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.