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Finding the Fourth Proportional to 18,594.56, 27,891.84 and 8,732

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Solution

The fourth proportional to 18,594.56, 27,891.84 and 8,732 is: 13,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.56 : 27,891.84 = 8,732 : x
  2. Step 2: Convert to fraction form
    18,594.56/27,891.84 = 8,732/x
  3. Step 3: Cross multiply
    18,594.56x = 27,891.84 × 8,732
  4. Step 4: Simplify right side
    18,594.56x = 243,551,546.88
  5. Step 5: Solve for x
    x = 243,551,546.88/18,594.56
  6. Step 6: Final answer
    x = 13,098.00

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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.