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Finding the Fourth Proportional to 17,740.23, 24,481.08 and 9,782.31

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Solution

The fourth proportional to 17,740.23, 24,481.08 and 9,782.31 is: 13,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.23 : 24,481.08 = 9,782.31 : x
  2. Step 2: Convert to fraction form
    17,740.23/24,481.08 = 9,782.31/x
  3. Step 3: Cross multiply
    17,740.23x = 24,481.08 × 9,782.31
  4. Step 4: Simplify right side
    17,740.23x = 239,481,513.69
  5. Step 5: Solve for x
    x = 239,481,513.69/17,740.23
  6. Step 6: Final answer
    x = 13,499.35

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