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Finding the Fourth Proportional to 16,735.19, 23,095.19 and 9,181.82

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Solution

The fourth proportional to 16,735.19, 23,095.19 and 9,181.82 is: 12,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.19 : 23,095.19 = 9,181.82 : x
  2. Step 2: Convert to fraction form
    16,735.19/23,095.19 = 9,181.82/x
  3. Step 3: Cross multiply
    16,735.19x = 23,095.19 × 9,181.82
  4. Step 4: Simplify right side
    16,735.19x = 212,055,958.14
  5. Step 5: Solve for x
    x = 212,055,958.14/16,735.19
  6. Step 6: Final answer
    x = 12,671.26

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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.