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Finding the Fourth Proportional to 17,782.25, 24,539.42 and 9,824.48

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Solution

The fourth proportional to 17,782.25, 24,539.42 and 9,824.48 is: 13,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.25 : 24,539.42 = 9,824.48 : x
  2. Step 2: Convert to fraction form
    17,782.25/24,539.42 = 9,824.48/x
  3. Step 3: Cross multiply
    17,782.25x = 24,539.42 × 9,824.48
  4. Step 4: Simplify right side
    17,782.25x = 241,086,869.18
  5. Step 5: Solve for x
    x = 241,086,869.18/17,782.25
  6. Step 6: Final answer
    x = 13,557.73

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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.