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Finding the Fourth Proportional to 24,194.79, 36,289.44 and 8,396.91

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Solution

The fourth proportional to 24,194.79, 36,289.44 and 8,396.91 is: 12,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.79 : 36,289.44 = 8,396.91 : x
  2. Step 2: Convert to fraction form
    24,194.79/36,289.44 = 8,396.91/x
  3. Step 3: Cross multiply
    24,194.79x = 36,289.44 × 8,396.91
  4. Step 4: Simplify right side
    24,194.79x = 304,719,161.63
  5. Step 5: Solve for x
    x = 304,719,161.63/24,194.79
  6. Step 6: Final answer
    x = 12,594.41

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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.