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Finding the Fourth Proportional to 24,656, 36,984 and 8,240

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Solution

The fourth proportional to 24,656, 36,984 and 8,240 is: 12,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656 : 36,984 = 8,240 : x
  2. Step 2: Convert to fraction form
    24,656/36,984 = 8,240/x
  3. Step 3: Cross multiply
    24,656x = 36,984 × 8,240
  4. Step 4: Simplify right side
    24,656x = 304,748,160
  5. Step 5: Solve for x
    x = 304,748,160/24,656
  6. Step 6: Final answer
    x = 12,360

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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.