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Finding the Fourth Proportional to 11,954.50, 17,924.79 and 4,559.47

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Solution

The fourth proportional to 11,954.50, 17,924.79 and 4,559.47 is: 6,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.50 : 17,924.79 = 4,559.47 : x
  2. Step 2: Convert to fraction form
    11,954.50/17,924.79 = 4,559.47/x
  3. Step 3: Cross multiply
    11,954.50x = 17,924.79 × 4,559.47
  4. Step 4: Simplify right side
    11,954.50x = 81,727,542.26
  5. Step 5: Solve for x
    x = 81,727,542.26/11,954.50
  6. Step 6: Final answer
    x = 6,836.55

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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.