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Finding the Fourth Proportional to 13,469.73, 18,588.24 and 7,805.58

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Solution

The fourth proportional to 13,469.73, 18,588.24 and 7,805.58 is: 10,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.73 : 18,588.24 = 7,805.58 : x
  2. Step 2: Convert to fraction form
    13,469.73/18,588.24 = 7,805.58/x
  3. Step 3: Cross multiply
    13,469.73x = 18,588.24 × 7,805.58
  4. Step 4: Simplify right side
    13,469.73x = 145,091,994.38
  5. Step 5: Solve for x
    x = 145,091,994.38/13,469.73
  6. Step 6: Final answer
    x = 10,771.71

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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.