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Finding the Fourth Proportional to 17,243, 23,795.37 and 9,791

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Solution

The fourth proportional to 17,243, 23,795.37 and 9,791 is: 13,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243 : 23,795.37 = 9,791 : x
  2. Step 2: Convert to fraction form
    17,243/23,795.37 = 9,791/x
  3. Step 3: Cross multiply
    17,243x = 23,795.37 × 9,791
  4. Step 4: Simplify right side
    17,243x = 232,980,467.67
  5. Step 5: Solve for x
    x = 232,980,467.67/17,243
  6. Step 6: Final answer
    x = 13,511.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.