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Finding the Fourth Proportional to 29,672.14, 44,519.14 and 13,882.28

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Solution

The fourth proportional to 29,672.14, 44,519.14 and 13,882.28 is: 20,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.14 : 44,519.14 = 13,882.28 : x
  2. Step 2: Convert to fraction form
    29,672.14/44,519.14 = 13,882.28/x
  3. Step 3: Cross multiply
    29,672.14x = 44,519.14 × 13,882.28
  4. Step 4: Simplify right side
    29,672.14x = 618,027,166.84
  5. Step 5: Solve for x
    x = 618,027,166.84/29,672.14
  6. Step 6: Final answer
    x = 20,828.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.