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Finding the Fourth Proportional to 13,643.32, 18,826 and 7,977

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Solution

The fourth proportional to 13,643.32, 18,826 and 7,977 is: 11,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.32 : 18,826 = 7,977 : x
  2. Step 2: Convert to fraction form
    13,643.32/18,826 = 7,977/x
  3. Step 3: Cross multiply
    13,643.32x = 18,826 × 7,977
  4. Step 4: Simplify right side
    13,643.32x = 150,175,002
  5. Step 5: Solve for x
    x = 150,175,002/13,643.32
  6. Step 6: Final answer
    x = 11,007.22

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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.