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Finding the Fourth Proportional to 24,780, 37,170 and 8,364

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Solution

The fourth proportional to 24,780, 37,170 and 8,364 is: 12,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 37,170 = 8,364 : x
  2. Step 2: Convert to fraction form
    24,780/37,170 = 8,364/x
  3. Step 3: Cross multiply
    24,780x = 37,170 × 8,364
  4. Step 4: Simplify right side
    24,780x = 310,889,880
  5. Step 5: Solve for x
    x = 310,889,880/24,780
  6. Step 6: Final answer
    x = 12,546

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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.