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Finding the Fourth Proportional to 12,770.14, 17,622.75 and 7,104.73

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Solution

The fourth proportional to 12,770.14, 17,622.75 and 7,104.73 is: 9,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.14 : 17,622.75 = 7,104.73 : x
  2. Step 2: Convert to fraction form
    12,770.14/17,622.75 = 7,104.73/x
  3. Step 3: Cross multiply
    12,770.14x = 17,622.75 × 7,104.73
  4. Step 4: Simplify right side
    12,770.14x = 125,204,880.61
  5. Step 5: Solve for x
    x = 125,204,880.61/12,770.14
  6. Step 6: Final answer
    x = 9,804.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.