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Finding the Fourth Proportional to 17,833, 26,744.19 and 5,351.89

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Solution

The fourth proportional to 17,833, 26,744.19 and 5,351.89 is: 8,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833 : 26,744.19 = 5,351.89 : x
  2. Step 2: Convert to fraction form
    17,833/26,744.19 = 5,351.89/x
  3. Step 3: Cross multiply
    17,833x = 26,744.19 × 5,351.89
  4. Step 4: Simplify right side
    17,833x = 143,131,963.02
  5. Step 5: Solve for x
    x = 143,131,963.02/17,833
  6. Step 6: Final answer
    x = 8,026.24

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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.