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Finding the Fourth Proportional to 24,422.67, 36,633.61 and 7,782.48

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Solution

The fourth proportional to 24,422.67, 36,633.61 and 7,782.48 is: 11,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.67 : 36,633.61 = 7,782.48 : x
  2. Step 2: Convert to fraction form
    24,422.67/36,633.61 = 7,782.48/x
  3. Step 3: Cross multiply
    24,422.67x = 36,633.61 × 7,782.48
  4. Step 4: Simplify right side
    24,422.67x = 285,100,298.24
  5. Step 5: Solve for x
    x = 285,100,298.24/24,422.67
  6. Step 6: Final answer
    x = 11,673.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.