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Finding the Fourth Proportional to 27,668, 41,502 and 8,963.72

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Solution

The fourth proportional to 27,668, 41,502 and 8,963.72 is: 13,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668 : 41,502 = 8,963.72 : x
  2. Step 2: Convert to fraction form
    27,668/41,502 = 8,963.72/x
  3. Step 3: Cross multiply
    27,668x = 41,502 × 8,963.72
  4. Step 4: Simplify right side
    27,668x = 372,012,307.44
  5. Step 5: Solve for x
    x = 372,012,307.44/27,668
  6. Step 6: Final answer
    x = 13,445.58

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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.