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Finding the Fourth Proportional to 24,131.68, 33,283.92 and 15,172

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Solution

The fourth proportional to 24,131.68, 33,283.92 and 15,172 is: 20,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.68 : 33,283.92 = 15,172 : x
  2. Step 2: Convert to fraction form
    24,131.68/33,283.92 = 15,172/x
  3. Step 3: Cross multiply
    24,131.68x = 33,283.92 × 15,172
  4. Step 4: Simplify right side
    24,131.68x = 504,983,634.24
  5. Step 5: Solve for x
    x = 504,983,634.24/24,131.68
  6. Step 6: Final answer
    x = 20,926.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.