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Finding the Fourth Proportional to 17,782.80, 24,540.12 and 9,825.56

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Solution

The fourth proportional to 17,782.80, 24,540.12 and 9,825.56 is: 13,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.80 : 24,540.12 = 9,825.56 : x
  2. Step 2: Convert to fraction form
    17,782.80/24,540.12 = 9,825.56/x
  3. Step 3: Cross multiply
    17,782.80x = 24,540.12 × 9,825.56
  4. Step 4: Simplify right side
    17,782.80x = 241,120,421.47
  5. Step 5: Solve for x
    x = 241,120,421.47/17,782.80
  6. Step 6: Final answer
    x = 13,559.19

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1.5x scale

Why These Related Problems?

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