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Finding the Fourth Proportional to 20,550.58, 30,875.10 and 13,169.50

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Solution

The fourth proportional to 20,550.58, 30,875.10 and 13,169.50 is: 19,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550.58 : 30,875.10 = 13,169.50 : x
  2. Step 2: Convert to fraction form
    20,550.58/30,875.10 = 13,169.50/x
  3. Step 3: Cross multiply
    20,550.58x = 30,875.10 × 13,169.50
  4. Step 4: Simplify right side
    20,550.58x = 406,609,629.45
  5. Step 5: Solve for x
    x = 406,609,629.45/20,550.58
  6. Step 6: Final answer
    x = 19,785.80

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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.