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Finding the Fourth Proportional to 23,850.36, 35,773.75 and 9,806.58

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Solution

The fourth proportional to 23,850.36, 35,773.75 and 9,806.58 is: 14,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.36 : 35,773.75 = 9,806.58 : x
  2. Step 2: Convert to fraction form
    23,850.36/35,773.75 = 9,806.58/x
  3. Step 3: Cross multiply
    23,850.36x = 35,773.75 × 9,806.58
  4. Step 4: Simplify right side
    23,850.36x = 350,818,141.28
  5. Step 5: Solve for x
    x = 350,818,141.28/23,850.36
  6. Step 6: Final answer
    x = 14,709.13

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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.