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Finding the Fourth Proportional to 16,724.22, 23,078.94 and 9,170.16

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Solution

The fourth proportional to 16,724.22, 23,078.94 and 9,170.16 is: 12,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.22 : 23,078.94 = 9,170.16 : x
  2. Step 2: Convert to fraction form
    16,724.22/23,078.94 = 9,170.16/x
  3. Step 3: Cross multiply
    16,724.22x = 23,078.94 × 9,170.16
  4. Step 4: Simplify right side
    16,724.22x = 211,637,572.43
  5. Step 5: Solve for x
    x = 211,637,572.43/16,724.22
  6. Step 6: Final answer
    x = 12,654.56

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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.