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Finding the Fourth Proportional to 23,465.70, 35,198.64 and 6,825.78

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Solution

The fourth proportional to 23,465.70, 35,198.64 and 6,825.78 is: 10,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.70 : 35,198.64 = 6,825.78 : x
  2. Step 2: Convert to fraction form
    23,465.70/35,198.64 = 6,825.78/x
  3. Step 3: Cross multiply
    23,465.70x = 35,198.64 × 6,825.78
  4. Step 4: Simplify right side
    23,465.70x = 240,258,172.94
  5. Step 5: Solve for x
    x = 240,258,172.94/23,465.70
  6. Step 6: Final answer
    x = 10,238.70

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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.