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Finding the Fourth Proportional to 17,782.44, 24,539.43 and 9,824.49

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Solution

The fourth proportional to 17,782.44, 24,539.43 and 9,824.49 is: 13,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.44 : 24,539.43 = 9,824.49 : x
  2. Step 2: Convert to fraction form
    17,782.44/24,539.43 = 9,824.49/x
  3. Step 3: Cross multiply
    17,782.44x = 24,539.43 × 9,824.49
  4. Step 4: Simplify right side
    17,782.44x = 241,087,393.85
  5. Step 5: Solve for x
    x = 241,087,393.85/17,782.44
  6. Step 6: Final answer
    x = 13,557.61

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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.