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Finding the Fourth Proportional to 21,974.98, 32,963.82 and 7,185.46

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Solution

The fourth proportional to 21,974.98, 32,963.82 and 7,185.46 is: 10,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.98 : 32,963.82 = 7,185.46 : x
  2. Step 2: Convert to fraction form
    21,974.98/32,963.82 = 7,185.46/x
  3. Step 3: Cross multiply
    21,974.98x = 32,963.82 × 7,185.46
  4. Step 4: Simplify right side
    21,974.98x = 236,860,210.06
  5. Step 5: Solve for x
    x = 236,860,210.06/21,974.98
  6. Step 6: Final answer
    x = 10,778.63

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Why These Related Problems?

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