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Finding the Fourth Proportional to 12,765.20, 17,614.94 and 7,459.44

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Solution

The fourth proportional to 12,765.20, 17,614.94 and 7,459.44 is: 10,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.20 : 17,614.94 = 7,459.44 : x
  2. Step 2: Convert to fraction form
    12,765.20/17,614.94 = 7,459.44/x
  3. Step 3: Cross multiply
    12,765.20x = 17,614.94 × 7,459.44
  4. Step 4: Simplify right side
    12,765.20x = 131,397,588.03
  5. Step 5: Solve for x
    x = 131,397,588.03/12,765.20
  6. Step 6: Final answer
    x = 10,293.42

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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.