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Finding the Fourth Proportional to 17,782.07, 24,538.07 and 9,824.23

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Solution

The fourth proportional to 17,782.07, 24,538.07 and 9,824.23 is: 13,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.07 : 24,538.07 = 9,824.23 : x
  2. Step 2: Convert to fraction form
    17,782.07/24,538.07 = 9,824.23/x
  3. Step 3: Cross multiply
    17,782.07x = 24,538.07 × 9,824.23
  4. Step 4: Simplify right side
    17,782.07x = 241,067,471.62
  5. Step 5: Solve for x
    x = 241,067,471.62/17,782.07
  6. Step 6: Final answer
    x = 13,556.77

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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.