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Finding the Fourth Proportional to 23,969.58, 33,078.05 and 14,409.57

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Solution

The fourth proportional to 23,969.58, 33,078.05 and 14,409.57 is: 19,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.58 : 33,078.05 = 14,409.57 : x
  2. Step 2: Convert to fraction form
    23,969.58/33,078.05 = 14,409.57/x
  3. Step 3: Cross multiply
    23,969.58x = 33,078.05 × 14,409.57
  4. Step 4: Simplify right side
    23,969.58x = 476,640,512.96
  5. Step 5: Solve for x
    x = 476,640,512.96/23,969.58
  6. Step 6: Final answer
    x = 19,885.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.