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Finding the Fourth Proportional to 20,524.65, 30,770.56 and 11,765.71

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Solution

The fourth proportional to 20,524.65, 30,770.56 and 11,765.71 is: 17,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.65 : 30,770.56 = 11,765.71 : x
  2. Step 2: Convert to fraction form
    20,524.65/30,770.56 = 11,765.71/x
  3. Step 3: Cross multiply
    20,524.65x = 30,770.56 × 11,765.71
  4. Step 4: Simplify right side
    20,524.65x = 362,037,485.50
  5. Step 5: Solve for x
    x = 362,037,485.50/20,524.65
  6. Step 6: Final answer
    x = 17,639.16

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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.