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Finding the Fourth Proportional to 16,857.75, 23,263.71 and 9,405.75

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Solution

The fourth proportional to 16,857.75, 23,263.71 and 9,405.75 is: 12,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.75 : 23,263.71 = 9,405.75 : x
  2. Step 2: Convert to fraction form
    16,857.75/23,263.71 = 9,405.75/x
  3. Step 3: Cross multiply
    16,857.75x = 23,263.71 × 9,405.75
  4. Step 4: Simplify right side
    16,857.75x = 218,812,640.33
  5. Step 5: Solve for x
    x = 218,812,640.33/16,857.75
  6. Step 6: Final answer
    x = 12,979.94

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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.