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Finding the Fourth Proportional to 17,783.52, 24,540.66 and 9,825.27

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Solution

The fourth proportional to 17,783.52, 24,540.66 and 9,825.27 is: 13,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.52 : 24,540.66 = 9,825.27 : x
  2. Step 2: Convert to fraction form
    17,783.52/24,540.66 = 9,825.27/x
  3. Step 3: Cross multiply
    17,783.52x = 24,540.66 × 9,825.27
  4. Step 4: Simplify right side
    17,783.52x = 241,118,610.48
  5. Step 5: Solve for x
    x = 241,118,610.48/17,783.52
  6. Step 6: Final answer
    x = 13,558.54

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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.