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Finding the Fourth Proportional to 24,576.88, 33,917.28 and 13,825.12

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Solution

The fourth proportional to 24,576.88, 33,917.28 and 13,825.12 is: 19,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.88 : 33,917.28 = 13,825.12 : x
  2. Step 2: Convert to fraction form
    24,576.88/33,917.28 = 13,825.12/x
  3. Step 3: Cross multiply
    24,576.88x = 33,917.28 × 13,825.12
  4. Step 4: Simplify right side
    24,576.88x = 468,910,466.07
  5. Step 5: Solve for x
    x = 468,910,466.07/24,576.88
  6. Step 6: Final answer
    x = 19,079.33

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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.