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Finding the Fourth Proportional to 13,850.55, 19,114.43 and 7,882.76

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Solution

The fourth proportional to 13,850.55, 19,114.43 and 7,882.76 is: 10,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.55 : 19,114.43 = 7,882.76 : x
  2. Step 2: Convert to fraction form
    13,850.55/19,114.43 = 7,882.76/x
  3. Step 3: Cross multiply
    13,850.55x = 19,114.43 × 7,882.76
  4. Step 4: Simplify right side
    13,850.55x = 150,674,464.23
  5. Step 5: Solve for x
    x = 150,674,464.23/13,850.55
  6. Step 6: Final answer
    x = 10,878.59

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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.