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Finding the Fourth Proportional to 15,093.73, 20,829.41 and 9,431.76

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Solution

The fourth proportional to 15,093.73, 20,829.41 and 9,431.76 is: 13,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.73 : 20,829.41 = 9,431.76 : x
  2. Step 2: Convert to fraction form
    15,093.73/20,829.41 = 9,431.76/x
  3. Step 3: Cross multiply
    15,093.73x = 20,829.41 × 9,431.76
  4. Step 4: Simplify right side
    15,093.73x = 196,458,076.38
  5. Step 5: Solve for x
    x = 196,458,076.38/15,093.73
  6. Step 6: Final answer
    x = 13,015.88

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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.