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Finding the Fourth Proportional to 16,847.96, 25,272 and 5,161.14

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Solution

The fourth proportional to 16,847.96, 25,272 and 5,161.14 is: 7,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.96 : 25,272 = 5,161.14 : x
  2. Step 2: Convert to fraction form
    16,847.96/25,272 = 5,161.14/x
  3. Step 3: Cross multiply
    16,847.96x = 25,272 × 5,161.14
  4. Step 4: Simplify right side
    16,847.96x = 130,432,330.08
  5. Step 5: Solve for x
    x = 130,432,330.08/16,847.96
  6. Step 6: Final answer
    x = 7,741.73

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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.