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Finding the Fourth Proportional to 16,711, 25,049.82 and 8,365.54

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Solution

The fourth proportional to 16,711, 25,049.82 and 8,365.54 is: 12,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711 : 25,049.82 = 8,365.54 : x
  2. Step 2: Convert to fraction form
    16,711/25,049.82 = 8,365.54/x
  3. Step 3: Cross multiply
    16,711x = 25,049.82 × 8,365.54
  4. Step 4: Simplify right side
    16,711x = 209,555,271.20
  5. Step 5: Solve for x
    x = 209,555,271.20/16,711
  6. Step 6: Final answer
    x = 12,539.96

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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.