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Finding the Fourth Proportional to 16,735.70, 23,095.07 and 9,661.97

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Solution

The fourth proportional to 16,735.70, 23,095.07 and 9,661.97 is: 13,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.70 : 23,095.07 = 9,661.97 : x
  2. Step 2: Convert to fraction form
    16,735.70/23,095.07 = 9,661.97/x
  3. Step 3: Cross multiply
    16,735.70x = 23,095.07 × 9,661.97
  4. Step 4: Simplify right side
    16,735.70x = 223,143,709.70
  5. Step 5: Solve for x
    x = 223,143,709.70/16,735.70
  6. Step 6: Final answer
    x = 13,333.40

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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.