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Finding the Fourth Proportional to 24,519.88, 33,844.38 and 14,454.16

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Solution

The fourth proportional to 24,519.88, 33,844.38 and 14,454.16 is: 19,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.88 : 33,844.38 = 14,454.16 : x
  2. Step 2: Convert to fraction form
    24,519.88/33,844.38 = 14,454.16/x
  3. Step 3: Cross multiply
    24,519.88x = 33,844.38 × 14,454.16
  4. Step 4: Simplify right side
    24,519.88x = 489,192,083.62
  5. Step 5: Solve for x
    x = 489,192,083.62/24,519.88
  6. Step 6: Final answer
    x = 19,950.84

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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.