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Finding the Fourth Proportional to 24,210, 36,315 and 7,794

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Solution

The fourth proportional to 24,210, 36,315 and 7,794 is: 11,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210 : 36,315 = 7,794 : x
  2. Step 2: Convert to fraction form
    24,210/36,315 = 7,794/x
  3. Step 3: Cross multiply
    24,210x = 36,315 × 7,794
  4. Step 4: Simplify right side
    24,210x = 283,039,110
  5. Step 5: Solve for x
    x = 283,039,110/24,210
  6. Step 6: Final answer
    x = 11,691

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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.