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Finding the Fourth Proportional to 17,782.52, 24,540.12 and 9,824.76

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Solution

The fourth proportional to 17,782.52, 24,540.12 and 9,824.76 is: 13,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.52 : 24,540.12 = 9,824.76 : x
  2. Step 2: Convert to fraction form
    17,782.52/24,540.12 = 9,824.76/x
  3. Step 3: Cross multiply
    17,782.52x = 24,540.12 × 9,824.76
  4. Step 4: Simplify right side
    17,782.52x = 241,100,789.37
  5. Step 5: Solve for x
    x = 241,100,789.37/17,782.52
  6. Step 6: Final answer
    x = 13,558.31

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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.