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Finding the Fourth Proportional to 13,850.87, 19,111.98 and 7,882.64

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Solution

The fourth proportional to 13,850.87, 19,111.98 and 7,882.64 is: 10,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.87 : 19,111.98 = 7,882.64 : x
  2. Step 2: Convert to fraction form
    13,850.87/19,111.98 = 7,882.64/x
  3. Step 3: Cross multiply
    13,850.87x = 19,111.98 × 7,882.64
  4. Step 4: Simplify right side
    13,850.87x = 150,652,905.81
  5. Step 5: Solve for x
    x = 150,652,905.81/13,850.87
  6. Step 6: Final answer
    x = 10,876.78

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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.