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Finding the Fourth Proportional to 23,829.98, 35,745.23 and 7,190.17

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Solution

The fourth proportional to 23,829.98, 35,745.23 and 7,190.17 is: 10,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.98 : 35,745.23 = 7,190.17 : x
  2. Step 2: Convert to fraction form
    23,829.98/35,745.23 = 7,190.17/x
  3. Step 3: Cross multiply
    23,829.98x = 35,745.23 × 7,190.17
  4. Step 4: Simplify right side
    23,829.98x = 257,014,209.00
  5. Step 5: Solve for x
    x = 257,014,209.00/23,829.98
  6. Step 6: Final answer
    x = 10,785.33

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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.