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Finding the Fourth Proportional to 12,765.40, 19,163.70 and 7,222.60

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Solution

The fourth proportional to 12,765.40, 19,163.70 and 7,222.60 is: 10,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.40 : 19,163.70 = 7,222.60 : x
  2. Step 2: Convert to fraction form
    12,765.40/19,163.70 = 7,222.60/x
  3. Step 3: Cross multiply
    12,765.40x = 19,163.70 × 7,222.60
  4. Step 4: Simplify right side
    12,765.40x = 138,411,739.62
  5. Step 5: Solve for x
    x = 138,411,739.62/12,765.40
  6. Step 6: Final answer
    x = 10,842.73

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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.