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Finding the Fourth Proportional to 24,422.54, 36,633.41 and 7,782.35

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Solution

The fourth proportional to 24,422.54, 36,633.41 and 7,782.35 is: 11,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.54 : 36,633.41 = 7,782.35 : x
  2. Step 2: Convert to fraction form
    24,422.54/36,633.41 = 7,782.35/x
  3. Step 3: Cross multiply
    24,422.54x = 36,633.41 × 7,782.35
  4. Step 4: Simplify right side
    24,422.54x = 285,093,825.42
  5. Step 5: Solve for x
    x = 285,093,825.42/24,422.54
  6. Step 6: Final answer
    x = 11,673.39

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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.