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Finding the Fourth Proportional to 34,015.74, 51,020.72 and 11,825.34

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Solution

The fourth proportional to 34,015.74, 51,020.72 and 11,825.34 is: 17,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.74 : 51,020.72 = 11,825.34 : x
  2. Step 2: Convert to fraction form
    34,015.74/51,020.72 = 11,825.34/x
  3. Step 3: Cross multiply
    34,015.74x = 51,020.72 × 11,825.34
  4. Step 4: Simplify right side
    34,015.74x = 603,337,361.04
  5. Step 5: Solve for x
    x = 603,337,361.04/34,015.74
  6. Step 6: Final answer
    x = 17,737.01

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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.