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Finding the Fourth Proportional to 23,989.36, 35,742.84 and 22,648

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Solution

The fourth proportional to 23,989.36, 35,742.84 and 22,648 is: 33,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989.36 : 35,742.84 = 22,648 : x
  2. Step 2: Convert to fraction form
    23,989.36/35,742.84 = 22,648/x
  3. Step 3: Cross multiply
    23,989.36x = 35,742.84 × 22,648
  4. Step 4: Simplify right side
    23,989.36x = 809,503,840.32
  5. Step 5: Solve for x
    x = 809,503,840.32/23,989.36
  6. Step 6: Final answer
    x = 33,744.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.