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Finding the Fourth Proportional to 13,765.23, 20,604.06 and 9,850.50

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Solution

The fourth proportional to 13,765.23, 20,604.06 and 9,850.50 is: 14,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.23 : 20,604.06 = 9,850.50 : x
  2. Step 2: Convert to fraction form
    13,765.23/20,604.06 = 9,850.50/x
  3. Step 3: Cross multiply
    13,765.23x = 20,604.06 × 9,850.50
  4. Step 4: Simplify right side
    13,765.23x = 202,960,293.03
  5. Step 5: Solve for x
    x = 202,960,293.03/13,765.23
  6. Step 6: Final answer
    x = 14,744.42

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1.5x scale

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.