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Finding the Fourth Proportional to 16,735.50, 23,094.09 and 9,181.71

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Solution

The fourth proportional to 16,735.50, 23,094.09 and 9,181.71 is: 12,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.50 : 23,094.09 = 9,181.71 : x
  2. Step 2: Convert to fraction form
    16,735.50/23,094.09 = 9,181.71/x
  3. Step 3: Cross multiply
    16,735.50x = 23,094.09 × 9,181.71
  4. Step 4: Simplify right side
    16,735.50x = 212,043,237.09
  5. Step 5: Solve for x
    x = 212,043,237.09/16,735.50
  6. Step 6: Final answer
    x = 12,670.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.