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Finding the Fourth Proportional to 27,682.50, 38,202.39 and 16,504.50

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Solution

The fourth proportional to 27,682.50, 38,202.39 and 16,504.50 is: 22,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.50 : 38,202.39 = 16,504.50 : x
  2. Step 2: Convert to fraction form
    27,682.50/38,202.39 = 16,504.50/x
  3. Step 3: Cross multiply
    27,682.50x = 38,202.39 × 16,504.50
  4. Step 4: Simplify right side
    27,682.50x = 630,511,345.76
  5. Step 5: Solve for x
    x = 630,511,345.76/27,682.50
  6. Step 6: Final answer
    x = 22,776.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.