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Finding the Fourth Proportional to 23,835.58, 35,742 and 8,832.41

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Solution

The fourth proportional to 23,835.58, 35,742 and 8,832.41 is: 13,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.58 : 35,742 = 8,832.41 : x
  2. Step 2: Convert to fraction form
    23,835.58/35,742 = 8,832.41/x
  3. Step 3: Cross multiply
    23,835.58x = 35,742 × 8,832.41
  4. Step 4: Simplify right side
    23,835.58x = 315,687,819.51
  5. Step 5: Solve for x
    x = 315,687,819.51/23,835.58
  6. Step 6: Final answer
    x = 13,244.39

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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.