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Finding the Fourth Proportional to 17,242, 23,793.99 and 9,790

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Solution

The fourth proportional to 17,242, 23,793.99 and 9,790 is: 13,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242 : 23,793.99 = 9,790 : x
  2. Step 2: Convert to fraction form
    17,242/23,793.99 = 9,790/x
  3. Step 3: Cross multiply
    17,242x = 23,793.99 × 9,790
  4. Step 4: Simplify right side
    17,242x = 232,943,162.10
  5. Step 5: Solve for x
    x = 232,943,162.10/17,242
  6. Step 6: Final answer
    x = 13,510.22

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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.