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Finding the Fourth Proportional to 24,446.62, 36,670.82 and 8,653.32

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Solution

The fourth proportional to 24,446.62, 36,670.82 and 8,653.32 is: 12,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.62 : 36,670.82 = 8,653.32 : x
  2. Step 2: Convert to fraction form
    24,446.62/36,670.82 = 8,653.32/x
  3. Step 3: Cross multiply
    24,446.62x = 36,670.82 × 8,653.32
  4. Step 4: Simplify right side
    24,446.62x = 317,324,144.47
  5. Step 5: Solve for x
    x = 317,324,144.47/24,446.62
  6. Step 6: Final answer
    x = 12,980.29

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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.