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Finding the Fourth Proportional to 18,427.64, 27,643.12 and 5,947.96

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Solution

The fourth proportional to 18,427.64, 27,643.12 and 5,947.96 is: 8,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.64 : 27,643.12 = 5,947.96 : x
  2. Step 2: Convert to fraction form
    18,427.64/27,643.12 = 5,947.96/x
  3. Step 3: Cross multiply
    18,427.64x = 27,643.12 × 5,947.96
  4. Step 4: Simplify right side
    18,427.64x = 164,420,172.04
  5. Step 5: Solve for x
    x = 164,420,172.04/18,427.64
  6. Step 6: Final answer
    x = 8,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.