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Finding the Fourth Proportional to 23,820.58, 35,747.34 and 8,238.34

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Solution

The fourth proportional to 23,820.58, 35,747.34 and 8,238.34 is: 12,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.58 : 35,747.34 = 8,238.34 : x
  2. Step 2: Convert to fraction form
    23,820.58/35,747.34 = 8,238.34/x
  3. Step 3: Cross multiply
    23,820.58x = 35,747.34 × 8,238.34
  4. Step 4: Simplify right side
    23,820.58x = 294,498,741.02
  5. Step 5: Solve for x
    x = 294,498,741.02/23,820.58
  6. Step 6: Final answer
    x = 12,363.21

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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.