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Finding the Fourth Proportional to 27,657.04, 41,481 and 11,864.62

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Solution

The fourth proportional to 27,657.04, 41,481 and 11,864.62 is: 17,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.04 : 41,481 = 11,864.62 : x
  2. Step 2: Convert to fraction form
    27,657.04/41,481 = 11,864.62/x
  3. Step 3: Cross multiply
    27,657.04x = 41,481 × 11,864.62
  4. Step 4: Simplify right side
    27,657.04x = 492,156,302.22
  5. Step 5: Solve for x
    x = 492,156,302.22/27,657.04
  6. Step 6: Final answer
    x = 17,794.97

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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.