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Finding the Fourth Proportional to 16,735.93, 23,095.81 and 9,182.12

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Solution

The fourth proportional to 16,735.93, 23,095.81 and 9,182.12 is: 12,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.93 : 23,095.81 = 9,182.12 : x
  2. Step 2: Convert to fraction form
    16,735.93/23,095.81 = 9,182.12/x
  3. Step 3: Cross multiply
    16,735.93x = 23,095.81 × 9,182.12
  4. Step 4: Simplify right side
    16,735.93x = 212,068,383.44
  5. Step 5: Solve for x
    x = 212,068,383.44/16,735.93
  6. Step 6: Final answer
    x = 12,671.45

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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.