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Finding the Fourth Proportional to 23,969.84, 35,954.64 and 6,438.20

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Solution

The fourth proportional to 23,969.84, 35,954.64 and 6,438.20 is: 9,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.84 : 35,954.64 = 6,438.20 : x
  2. Step 2: Convert to fraction form
    23,969.84/35,954.64 = 6,438.20/x
  3. Step 3: Cross multiply
    23,969.84x = 35,954.64 × 6,438.20
  4. Step 4: Simplify right side
    23,969.84x = 231,483,163.25
  5. Step 5: Solve for x
    x = 231,483,163.25/23,969.84
  6. Step 6: Final answer
    x = 9,657.27

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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.