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Finding the Fourth Proportional to 24,285.39, 36,414.41 and 7,415.43

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Solution

The fourth proportional to 24,285.39, 36,414.41 and 7,415.43 is: 11,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.39 : 36,414.41 = 7,415.43 : x
  2. Step 2: Convert to fraction form
    24,285.39/36,414.41 = 7,415.43/x
  3. Step 3: Cross multiply
    24,285.39x = 36,414.41 × 7,415.43
  4. Step 4: Simplify right side
    24,285.39x = 270,028,471.27
  5. Step 5: Solve for x
    x = 270,028,471.27/24,285.39
  6. Step 6: Final answer
    x = 11,118.97

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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.