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Finding the Fourth Proportional to 13,577.70, 18,745.97 and 11,065.82

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Solution

The fourth proportional to 13,577.70, 18,745.97 and 11,065.82 is: 15,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.70 : 18,745.97 = 11,065.82 : x
  2. Step 2: Convert to fraction form
    13,577.70/18,745.97 = 11,065.82/x
  3. Step 3: Cross multiply
    13,577.70x = 18,745.97 × 11,065.82
  4. Step 4: Simplify right side
    13,577.70x = 207,439,529.75
  5. Step 5: Solve for x
    x = 207,439,529.75/13,577.70
  6. Step 6: Final answer
    x = 15,277.96

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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.