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Finding the Fourth Proportional to 17,071.87, 25,606.44 and 5,826.25

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Solution

The fourth proportional to 17,071.87, 25,606.44 and 5,826.25 is: 8,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.87 : 25,606.44 = 5,826.25 : x
  2. Step 2: Convert to fraction form
    17,071.87/25,606.44 = 5,826.25/x
  3. Step 3: Cross multiply
    17,071.87x = 25,606.44 × 5,826.25
  4. Step 4: Simplify right side
    17,071.87x = 149,189,427.90
  5. Step 5: Solve for x
    x = 149,189,427.90/17,071.87
  6. Step 6: Final answer
    x = 8,738.90

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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.