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Finding the Fourth Proportional to 27,668.72, 41,502 and 7,947.20

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Solution

The fourth proportional to 27,668.72, 41,502 and 7,947.20 is: 11,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.72 : 41,502 = 7,947.20 : x
  2. Step 2: Convert to fraction form
    27,668.72/41,502 = 7,947.20/x
  3. Step 3: Cross multiply
    27,668.72x = 41,502 × 7,947.20
  4. Step 4: Simplify right side
    27,668.72x = 329,824,694.40
  5. Step 5: Solve for x
    x = 329,824,694.40/27,668.72
  6. Step 6: Final answer
    x = 11,920.49

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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.