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Finding the Fourth Proportional to 23,857.92, 35,770.41 and 9,617.58

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Solution

The fourth proportional to 23,857.92, 35,770.41 and 9,617.58 is: 14,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.92 : 35,770.41 = 9,617.58 : x
  2. Step 2: Convert to fraction form
    23,857.92/35,770.41 = 9,617.58/x
  3. Step 3: Cross multiply
    23,857.92x = 35,770.41 × 9,617.58
  4. Step 4: Simplify right side
    23,857.92x = 344,024,779.81
  5. Step 5: Solve for x
    x = 344,024,779.81/23,857.92
  6. Step 6: Final answer
    x = 14,419.73

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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.