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Finding the Fourth Proportional to 23,825.97, 35,740.23 and 6,295.32

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Solution

The fourth proportional to 23,825.97, 35,740.23 and 6,295.32 is: 9,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.97 : 35,740.23 = 6,295.32 : x
  2. Step 2: Convert to fraction form
    23,825.97/35,740.23 = 6,295.32/x
  3. Step 3: Cross multiply
    23,825.97x = 35,740.23 × 6,295.32
  4. Step 4: Simplify right side
    23,825.97x = 224,996,006.02
  5. Step 5: Solve for x
    x = 224,996,006.02/23,825.97
  6. Step 6: Final answer
    x = 9,443.31

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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.