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Finding the Fourth Proportional to 17,782.34, 24,540.12 and 9,825.08

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Solution

The fourth proportional to 17,782.34, 24,540.12 and 9,825.08 is: 13,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.34 : 24,540.12 = 9,825.08 : x
  2. Step 2: Convert to fraction form
    17,782.34/24,540.12 = 9,825.08/x
  3. Step 3: Cross multiply
    17,782.34x = 24,540.12 × 9,825.08
  4. Step 4: Simplify right side
    17,782.34x = 241,108,519.51
  5. Step 5: Solve for x
    x = 241,108,519.51/17,782.34
  6. Step 6: Final answer
    x = 13,558.87

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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.