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Finding the Fourth Proportional to 23,858.92, 35,771.91 and 9,618.58

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Solution

The fourth proportional to 23,858.92, 35,771.91 and 9,618.58 is: 14,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.92 : 35,771.91 = 9,618.58 : x
  2. Step 2: Convert to fraction form
    23,858.92/35,771.91 = 9,618.58/x
  3. Step 3: Cross multiply
    23,858.92x = 35,771.91 × 9,618.58
  4. Step 4: Simplify right side
    23,858.92x = 344,074,978.09
  5. Step 5: Solve for x
    x = 344,074,978.09/23,858.92
  6. Step 6: Final answer
    x = 14,421.23

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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.