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Finding the Fourth Proportional to 14,206, 19,604.42 and 7,832.85

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Solution

The fourth proportional to 14,206, 19,604.42 and 7,832.85 is: 10,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206 : 19,604.42 = 7,832.85 : x
  2. Step 2: Convert to fraction form
    14,206/19,604.42 = 7,832.85/x
  3. Step 3: Cross multiply
    14,206x = 19,604.42 × 7,832.85
  4. Step 4: Simplify right side
    14,206x = 153,558,481.20
  5. Step 5: Solve for x
    x = 153,558,481.20/14,206
  6. Step 6: Final answer
    x = 10,809.41

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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.