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Finding the Fourth Proportional to 13,025.96, 17,974.73 and 7,361.20

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Solution

The fourth proportional to 13,025.96, 17,974.73 and 7,361.20 is: 10,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.96 : 17,974.73 = 7,361.20 : x
  2. Step 2: Convert to fraction form
    13,025.96/17,974.73 = 7,361.20/x
  3. Step 3: Cross multiply
    13,025.96x = 17,974.73 × 7,361.20
  4. Step 4: Simplify right side
    13,025.96x = 132,315,582.48
  5. Step 5: Solve for x
    x = 132,315,582.48/13,025.96
  6. Step 6: Final answer
    x = 10,157.84

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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.