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Finding the Fourth Proportional to 23,820.40, 35,730.60 and 16,447.60

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Solution

The fourth proportional to 23,820.40, 35,730.60 and 16,447.60 is: 24,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.40 : 35,730.60 = 16,447.60 : x
  2. Step 2: Convert to fraction form
    23,820.40/35,730.60 = 16,447.60/x
  3. Step 3: Cross multiply
    23,820.40x = 35,730.60 × 16,447.60
  4. Step 4: Simplify right side
    23,820.40x = 587,682,616.56
  5. Step 5: Solve for x
    x = 587,682,616.56/23,820.40
  6. Step 6: Final answer
    x = 24,671.40

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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.