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Finding the Fourth Proportional to 16,856.88, 25,277 and 5,167.28

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Solution

The fourth proportional to 16,856.88, 25,277 and 5,167.28 is: 7,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.88 : 25,277 = 5,167.28 : x
  2. Step 2: Convert to fraction form
    16,856.88/25,277 = 5,167.28/x
  3. Step 3: Cross multiply
    16,856.88x = 25,277 × 5,167.28
  4. Step 4: Simplify right side
    16,856.88x = 130,613,336.56
  5. Step 5: Solve for x
    x = 130,613,336.56/16,856.88
  6. Step 6: Final answer
    x = 7,748.37

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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.