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Finding the Fourth Proportional to 25,735.47, 38,603.21 and 9,086.37

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Solution

The fourth proportional to 25,735.47, 38,603.21 and 9,086.37 is: 13,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.47 : 38,603.21 = 9,086.37 : x
  2. Step 2: Convert to fraction form
    25,735.47/38,603.21 = 9,086.37/x
  3. Step 3: Cross multiply
    25,735.47x = 38,603.21 × 9,086.37
  4. Step 4: Simplify right side
    25,735.47x = 350,763,003.82
  5. Step 5: Solve for x
    x = 350,763,003.82/25,735.47
  6. Step 6: Final answer
    x = 13,629.56

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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.