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Finding the Fourth Proportional to 13,765.25, 20,645.43 and 6,267.08

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Solution

The fourth proportional to 13,765.25, 20,645.43 and 6,267.08 is: 9,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.25 : 20,645.43 = 6,267.08 : x
  2. Step 2: Convert to fraction form
    13,765.25/20,645.43 = 6,267.08/x
  3. Step 3: Cross multiply
    13,765.25x = 20,645.43 × 6,267.08
  4. Step 4: Simplify right side
    13,765.25x = 129,386,458.22
  5. Step 5: Solve for x
    x = 129,386,458.22/13,765.25
  6. Step 6: Final answer
    x = 9,399.50

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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.