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Finding the Fourth Proportional to 24,321.39, 36,486.96 and 7,682.97

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Solution

The fourth proportional to 24,321.39, 36,486.96 and 7,682.97 is: 11,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.39 : 36,486.96 = 7,682.97 : x
  2. Step 2: Convert to fraction form
    24,321.39/36,486.96 = 7,682.97/x
  3. Step 3: Cross multiply
    24,321.39x = 36,486.96 × 7,682.97
  4. Step 4: Simplify right side
    24,321.39x = 280,328,219.07
  5. Step 5: Solve for x
    x = 280,328,219.07/24,321.39
  6. Step 6: Final answer
    x = 11,525.99

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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.