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Finding the Fourth Proportional to 18,656.44, 27,987.63 and 6,176.92

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Solution

The fourth proportional to 18,656.44, 27,987.63 and 6,176.92 is: 9,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.44 : 27,987.63 = 6,176.92 : x
  2. Step 2: Convert to fraction form
    18,656.44/27,987.63 = 6,176.92/x
  3. Step 3: Cross multiply
    18,656.44x = 27,987.63 × 6,176.92
  4. Step 4: Simplify right side
    18,656.44x = 172,877,351.50
  5. Step 5: Solve for x
    x = 172,877,351.50/18,656.44
  6. Step 6: Final answer
    x = 9,266.36

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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.