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Finding the Fourth Proportional to 17,740.18, 24,481.29 and 9,782.24

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Solution

The fourth proportional to 17,740.18, 24,481.29 and 9,782.24 is: 13,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.18 : 24,481.29 = 9,782.24 : x
  2. Step 2: Convert to fraction form
    17,740.18/24,481.29 = 9,782.24/x
  3. Step 3: Cross multiply
    17,740.18x = 24,481.29 × 9,782.24
  4. Step 4: Simplify right side
    17,740.18x = 239,481,713.54
  5. Step 5: Solve for x
    x = 239,481,713.54/17,740.18
  6. Step 6: Final answer
    x = 13,499.39

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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.