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Finding the Fourth Proportional to 12,969.80, 19,425.90 and 6,806.60

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Solution

The fourth proportional to 12,969.80, 19,425.90 and 6,806.60 is: 10,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.80 : 19,425.90 = 6,806.60 : x
  2. Step 2: Convert to fraction form
    12,969.80/19,425.90 = 6,806.60/x
  3. Step 3: Cross multiply
    12,969.80x = 19,425.90 × 6,806.60
  4. Step 4: Simplify right side
    12,969.80x = 132,224,330.94
  5. Step 5: Solve for x
    x = 132,224,330.94/12,969.80
  6. Step 6: Final answer
    x = 10,194.79

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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.