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Finding the Fourth Proportional to 16,706.80, 23,055.38 and 9,992.43

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Solution

The fourth proportional to 16,706.80, 23,055.38 and 9,992.43 is: 13,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.80 : 23,055.38 = 9,992.43 : x
  2. Step 2: Convert to fraction form
    16,706.80/23,055.38 = 9,992.43/x
  3. Step 3: Cross multiply
    16,706.80x = 23,055.38 × 9,992.43
  4. Step 4: Simplify right side
    16,706.80x = 230,379,220.81
  5. Step 5: Solve for x
    x = 230,379,220.81/16,706.80
  6. Step 6: Final answer
    x = 13,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.