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Finding the Fourth Proportional to 20,326.50, 30,489.66 and 7,175.70

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Solution

The fourth proportional to 20,326.50, 30,489.66 and 7,175.70 is: 10,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326.50 : 30,489.66 = 7,175.70 : x
  2. Step 2: Convert to fraction form
    20,326.50/30,489.66 = 7,175.70/x
  3. Step 3: Cross multiply
    20,326.50x = 30,489.66 × 7,175.70
  4. Step 4: Simplify right side
    20,326.50x = 218,784,653.26
  5. Step 5: Solve for x
    x = 218,784,653.26/20,326.50
  6. Step 6: Final answer
    x = 10,763.52

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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.