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Finding the Fourth Proportional to 24,362.25, 33,620.11 and 13,184.25

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Solution

The fourth proportional to 24,362.25, 33,620.11 and 13,184.25 is: 18,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.25 : 33,620.11 = 13,184.25 : x
  2. Step 2: Convert to fraction form
    24,362.25/33,620.11 = 13,184.25/x
  3. Step 3: Cross multiply
    24,362.25x = 33,620.11 × 13,184.25
  4. Step 4: Simplify right side
    24,362.25x = 443,255,902.31
  5. Step 5: Solve for x
    x = 443,255,902.31/24,362.25
  6. Step 6: Final answer
    x = 18,194.37

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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.