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Finding the Fourth Proportional to 13,201.27, 19,805 and 3,841.50

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Solution

The fourth proportional to 13,201.27, 19,805 and 3,841.50 is: 5,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.27 : 19,805 = 3,841.50 : x
  2. Step 2: Convert to fraction form
    13,201.27/19,805 = 3,841.50/x
  3. Step 3: Cross multiply
    13,201.27x = 19,805 × 3,841.50
  4. Step 4: Simplify right side
    13,201.27x = 76,080,907.50
  5. Step 5: Solve for x
    x = 76,080,907.50/13,201.27
  6. Step 6: Final answer
    x = 5,763.15

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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.