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Finding the Fourth Proportional to 27,767, 41,654.84 and 9,042.62

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Solution

The fourth proportional to 27,767, 41,654.84 and 9,042.62 is: 13,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767 : 41,654.84 = 9,042.62 : x
  2. Step 2: Convert to fraction form
    27,767/41,654.84 = 9,042.62/x
  3. Step 3: Cross multiply
    27,767x = 41,654.84 × 9,042.62
  4. Step 4: Simplify right side
    27,767x = 376,668,889.28
  5. Step 5: Solve for x
    x = 376,668,889.28/27,767
  6. Step 6: Final answer
    x = 13,565.34

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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.