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Finding the Fourth Proportional to 24,392.64, 36,579.36 and 8,596.80

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Solution

The fourth proportional to 24,392.64, 36,579.36 and 8,596.80 is: 12,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.64 : 36,579.36 = 8,596.80 : x
  2. Step 2: Convert to fraction form
    24,392.64/36,579.36 = 8,596.80/x
  3. Step 3: Cross multiply
    24,392.64x = 36,579.36 × 8,596.80
  4. Step 4: Simplify right side
    24,392.64x = 314,465,442.05
  5. Step 5: Solve for x
    x = 314,465,442.05/24,392.64
  6. Step 6: Final answer
    x = 12,891.82

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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.