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Finding the Fourth Proportional to 13,846.84, 19,109.73 and 7,878.76

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Solution

The fourth proportional to 13,846.84, 19,109.73 and 7,878.76 is: 10,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.84 : 19,109.73 = 7,878.76 : x
  2. Step 2: Convert to fraction form
    13,846.84/19,109.73 = 7,878.76/x
  3. Step 3: Cross multiply
    13,846.84x = 19,109.73 × 7,878.76
  4. Step 4: Simplify right side
    13,846.84x = 150,560,976.33
  5. Step 5: Solve for x
    x = 150,560,976.33/13,846.84
  6. Step 6: Final answer
    x = 10,873.31

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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.