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Finding the Fourth Proportional to 20,708.37, 31,059.32 and 6,857.37

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Solution

The fourth proportional to 20,708.37, 31,059.32 and 6,857.37 is: 10,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.37 : 31,059.32 = 6,857.37 : x
  2. Step 2: Convert to fraction form
    20,708.37/31,059.32 = 6,857.37/x
  3. Step 3: Cross multiply
    20,708.37x = 31,059.32 × 6,857.37
  4. Step 4: Simplify right side
    20,708.37x = 212,985,214.90
  5. Step 5: Solve for x
    x = 212,985,214.90/20,708.37
  6. Step 6: Final answer
    x = 10,284.98

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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.