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Finding the Fourth Proportional to 17,041, 25,562.94 and 4,729

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Solution

The fourth proportional to 17,041, 25,562.94 and 4,729 is: 7,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041 : 25,562.94 = 4,729 : x
  2. Step 2: Convert to fraction form
    17,041/25,562.94 = 4,729/x
  3. Step 3: Cross multiply
    17,041x = 25,562.94 × 4,729
  4. Step 4: Simplify right side
    17,041x = 120,887,143.26
  5. Step 5: Solve for x
    x = 120,887,143.26/17,041
  6. Step 6: Final answer
    x = 7,093.90

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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.