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Finding the Fourth Proportional to 17,086.56, 25,629.90 and 4,774.56

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Solution

The fourth proportional to 17,086.56, 25,629.90 and 4,774.56 is: 7,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.56 : 25,629.90 = 4,774.56 : x
  2. Step 2: Convert to fraction form
    17,086.56/25,629.90 = 4,774.56/x
  3. Step 3: Cross multiply
    17,086.56x = 25,629.90 × 4,774.56
  4. Step 4: Simplify right side
    17,086.56x = 122,371,495.34
  5. Step 5: Solve for x
    x = 122,371,495.34/17,086.56
  6. Step 6: Final answer
    x = 7,161.86

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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.