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Finding the Fourth Proportional to 27,411, 41,122.26 and 10,995

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Solution

The fourth proportional to 27,411, 41,122.26 and 10,995 is: 16,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411 : 41,122.26 = 10,995 : x
  2. Step 2: Convert to fraction form
    27,411/41,122.26 = 10,995/x
  3. Step 3: Cross multiply
    27,411x = 41,122.26 × 10,995
  4. Step 4: Simplify right side
    27,411x = 452,139,248.70
  5. Step 5: Solve for x
    x = 452,139,248.70/27,411
  6. Step 6: Final answer
    x = 16,494.81

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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.