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Finding the Fourth Proportional to 11,954.48, 17,924.54 and 4,559.49

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Solution

The fourth proportional to 11,954.48, 17,924.54 and 4,559.49 is: 6,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.48 : 17,924.54 = 4,559.49 : x
  2. Step 2: Convert to fraction form
    11,954.48/17,924.54 = 4,559.49/x
  3. Step 3: Cross multiply
    11,954.48x = 17,924.54 × 4,559.49
  4. Step 4: Simplify right side
    11,954.48x = 81,726,738.09
  5. Step 5: Solve for x
    x = 81,726,738.09/11,954.48
  6. Step 6: Final answer
    x = 6,836.50

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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.