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Finding the Fourth Proportional to 24,474.82, 36,681.24 and 11,991.88

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Solution

The fourth proportional to 24,474.82, 36,681.24 and 11,991.88 is: 17,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.82 : 36,681.24 = 11,991.88 : x
  2. Step 2: Convert to fraction form
    24,474.82/36,681.24 = 11,991.88/x
  3. Step 3: Cross multiply
    24,474.82x = 36,681.24 × 11,991.88
  4. Step 4: Simplify right side
    24,474.82x = 439,877,028.33
  5. Step 5: Solve for x
    x = 439,877,028.33/24,474.82
  6. Step 6: Final answer
    x = 17,972.64

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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.