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Finding the Fourth Proportional to 12,882, 19,313.82 and 5,858.49

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Solution

The fourth proportional to 12,882, 19,313.82 and 5,858.49 is: 8,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 19,313.82 = 5,858.49 : x
  2. Step 2: Convert to fraction form
    12,882/19,313.82 = 5,858.49/x
  3. Step 3: Cross multiply
    12,882x = 19,313.82 × 5,858.49
  4. Step 4: Simplify right side
    12,882x = 113,149,821.33
  5. Step 5: Solve for x
    x = 113,149,821.33/12,882
  6. Step 6: Final answer
    x = 8,783.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.