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Finding the Fourth Proportional to 16,706.97, 23,063.27 and 14,429.25

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Solution

The fourth proportional to 16,706.97, 23,063.27 and 14,429.25 is: 19,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.97 : 23,063.27 = 14,429.25 : x
  2. Step 2: Convert to fraction form
    16,706.97/23,063.27 = 14,429.25/x
  3. Step 3: Cross multiply
    16,706.97x = 23,063.27 × 14,429.25
  4. Step 4: Simplify right side
    16,706.97x = 332,785,616.50
  5. Step 5: Solve for x
    x = 332,785,616.50/16,706.97
  6. Step 6: Final answer
    x = 19,918.97

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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.