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Finding the Fourth Proportional to 20,751.37, 31,124.09 and 6,709.58

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Solution

The fourth proportional to 20,751.37, 31,124.09 and 6,709.58 is: 10,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.37 : 31,124.09 = 6,709.58 : x
  2. Step 2: Convert to fraction form
    20,751.37/31,124.09 = 6,709.58/x
  3. Step 3: Cross multiply
    20,751.37x = 31,124.09 × 6,709.58
  4. Step 4: Simplify right side
    20,751.37x = 208,829,571.78
  5. Step 5: Solve for x
    x = 208,829,571.78/20,751.37
  6. Step 6: Final answer
    x = 10,063.41

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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.