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Finding the Fourth Proportional to 16,735.75, 23,095.15 and 9,182.14

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Solution

The fourth proportional to 16,735.75, 23,095.15 and 9,182.14 is: 12,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.75 : 23,095.15 = 9,182.14 : x
  2. Step 2: Convert to fraction form
    16,735.75/23,095.15 = 9,182.14/x
  3. Step 3: Cross multiply
    16,735.75x = 23,095.15 × 9,182.14
  4. Step 4: Simplify right side
    16,735.75x = 212,062,819.93
  5. Step 5: Solve for x
    x = 212,062,819.93/16,735.75
  6. Step 6: Final answer
    x = 12,671.25

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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.