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Finding the Fourth Proportional to 24,624, 36,936.32 and 8,208

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Solution

The fourth proportional to 24,624, 36,936.32 and 8,208 is: 12,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 36,936.32 = 8,208 : x
  2. Step 2: Convert to fraction form
    24,624/36,936.32 = 8,208/x
  3. Step 3: Cross multiply
    24,624x = 36,936.32 × 8,208
  4. Step 4: Simplify right side
    24,624x = 303,173,314.56
  5. Step 5: Solve for x
    x = 303,173,314.56/24,624
  6. Step 6: Final answer
    x = 12,312.11

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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.