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Finding the Fourth Proportional to 13,756.32, 18,977.04 and 8,163.36

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Solution

The fourth proportional to 13,756.32, 18,977.04 and 8,163.36 is: 11,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.32 : 18,977.04 = 8,163.36 : x
  2. Step 2: Convert to fraction form
    13,756.32/18,977.04 = 8,163.36/x
  3. Step 3: Cross multiply
    13,756.32x = 18,977.04 × 8,163.36
  4. Step 4: Simplify right side
    13,756.32x = 154,916,409.25
  5. Step 5: Solve for x
    x = 154,916,409.25/13,756.32
  6. Step 6: Final answer
    x = 11,261.47

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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.