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Finding the Fourth Proportional to 23,767.96, 35,639.94 and 13,910.20

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Solution

The fourth proportional to 23,767.96, 35,639.94 and 13,910.20 is: 20,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.96 : 35,639.94 = 13,910.20 : x
  2. Step 2: Convert to fraction form
    23,767.96/35,639.94 = 13,910.20/x
  3. Step 3: Cross multiply
    23,767.96x = 35,639.94 × 13,910.20
  4. Step 4: Simplify right side
    23,767.96x = 495,758,693.39
  5. Step 5: Solve for x
    x = 495,758,693.39/23,767.96
  6. Step 6: Final answer
    x = 20,858.28

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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.