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Finding the Fourth Proportional to 24,392.98, 36,585.18 and 6,858.64

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Solution

The fourth proportional to 24,392.98, 36,585.18 and 6,858.64 is: 10,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.98 : 36,585.18 = 6,858.64 : x
  2. Step 2: Convert to fraction form
    24,392.98/36,585.18 = 6,858.64/x
  3. Step 3: Cross multiply
    24,392.98x = 36,585.18 × 6,858.64
  4. Step 4: Simplify right side
    24,392.98x = 250,924,578.96
  5. Step 5: Solve for x
    x = 250,924,578.96/24,392.98
  6. Step 6: Final answer
    x = 10,286.75

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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.