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Finding the Fourth Proportional to 20,167.70, 30,208.35 and 13,169.30

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Solution

The fourth proportional to 20,167.70, 30,208.35 and 13,169.30 is: 19,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.70 : 30,208.35 = 13,169.30 : x
  2. Step 2: Convert to fraction form
    20,167.70/30,208.35 = 13,169.30/x
  3. Step 3: Cross multiply
    20,167.70x = 30,208.35 × 13,169.30
  4. Step 4: Simplify right side
    20,167.70x = 397,822,823.66
  5. Step 5: Solve for x
    x = 397,822,823.66/20,167.70
  6. Step 6: Final answer
    x = 19,725.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.