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Finding the Fourth Proportional to 13,977.96, 19,289.26 and 8,013.14

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Solution

The fourth proportional to 13,977.96, 19,289.26 and 8,013.14 is: 11,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.96 : 19,289.26 = 8,013.14 : x
  2. Step 2: Convert to fraction form
    13,977.96/19,289.26 = 8,013.14/x
  3. Step 3: Cross multiply
    13,977.96x = 19,289.26 × 8,013.14
  4. Step 4: Simplify right side
    13,977.96x = 154,567,540.88
  5. Step 5: Solve for x
    x = 154,567,540.88/13,977.96
  6. Step 6: Final answer
    x = 11,057.95

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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.