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Finding the Fourth Proportional to 18,171.88, 27,252.06 and 5,857

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Solution

The fourth proportional to 18,171.88, 27,252.06 and 5,857 is: 8,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171.88 : 27,252.06 = 5,857 : x
  2. Step 2: Convert to fraction form
    18,171.88/27,252.06 = 5,857/x
  3. Step 3: Cross multiply
    18,171.88x = 27,252.06 × 5,857
  4. Step 4: Simplify right side
    18,171.88x = 159,615,315.42
  5. Step 5: Solve for x
    x = 159,615,315.42/18,171.88
  6. Step 6: Final answer
    x = 8,783.64

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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.