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Finding the Fourth Proportional to 17,828.54, 24,603.21 and 10,272.09

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Solution

The fourth proportional to 17,828.54, 24,603.21 and 10,272.09 is: 14,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.54 : 24,603.21 = 10,272.09 : x
  2. Step 2: Convert to fraction form
    17,828.54/24,603.21 = 10,272.09/x
  3. Step 3: Cross multiply
    17,828.54x = 24,603.21 × 10,272.09
  4. Step 4: Simplify right side
    17,828.54x = 252,726,387.41
  5. Step 5: Solve for x
    x = 252,726,387.41/17,828.54
  6. Step 6: Final answer
    x = 14,175.38

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Why These Related Problems?

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