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Finding the Fourth Proportional to 24,821.88, 34,262.18 and 15,893.44

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Solution

The fourth proportional to 24,821.88, 34,262.18 and 15,893.44 is: 21,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.88 : 34,262.18 = 15,893.44 : x
  2. Step 2: Convert to fraction form
    24,821.88/34,262.18 = 15,893.44/x
  3. Step 3: Cross multiply
    24,821.88x = 34,262.18 × 15,893.44
  4. Step 4: Simplify right side
    24,821.88x = 544,543,902.10
  5. Step 5: Solve for x
    x = 544,543,902.10/24,821.88
  6. Step 6: Final answer
    x = 21,938.06

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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.