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Finding the Fourth Proportional to 18,464, 27,696 and 7,520

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Solution

The fourth proportional to 18,464, 27,696 and 7,520 is: 11,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464 : 27,696 = 7,520 : x
  2. Step 2: Convert to fraction form
    18,464/27,696 = 7,520/x
  3. Step 3: Cross multiply
    18,464x = 27,696 × 7,520
  4. Step 4: Simplify right side
    18,464x = 208,273,920
  5. Step 5: Solve for x
    x = 208,273,920/18,464
  6. Step 6: Final answer
    x = 11,280

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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.