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Finding the Fourth Proportional to 13,885.75, 19,171.11 and 8,583.58

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Solution

The fourth proportional to 13,885.75, 19,171.11 and 8,583.58 is: 11,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.75 : 19,171.11 = 8,583.58 : x
  2. Step 2: Convert to fraction form
    13,885.75/19,171.11 = 8,583.58/x
  3. Step 3: Cross multiply
    13,885.75x = 19,171.11 × 8,583.58
  4. Step 4: Simplify right side
    13,885.75x = 164,556,756.37
  5. Step 5: Solve for x
    x = 164,556,756.37/13,885.75
  6. Step 6: Final answer
    x = 11,850.76

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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.