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Finding the Fourth Proportional to 27,966, 41,954.76 and 11,550

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Solution

The fourth proportional to 27,966, 41,954.76 and 11,550 is: 17,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966 : 41,954.76 = 11,550 : x
  2. Step 2: Convert to fraction form
    27,966/41,954.76 = 11,550/x
  3. Step 3: Cross multiply
    27,966x = 41,954.76 × 11,550
  4. Step 4: Simplify right side
    27,966x = 484,577,478
  5. Step 5: Solve for x
    x = 484,577,478/27,966
  6. Step 6: Final answer
    x = 17,327.38

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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.