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Finding the Fourth Proportional to 20,164.70, 30,203.85 and 13,166.30

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Solution

The fourth proportional to 20,164.70, 30,203.85 and 13,166.30 is: 19,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.70 : 30,203.85 = 13,166.30 : x
  2. Step 2: Convert to fraction form
    20,164.70/30,203.85 = 13,166.30/x
  3. Step 3: Cross multiply
    20,164.70x = 30,203.85 × 13,166.30
  4. Step 4: Simplify right side
    20,164.70x = 397,672,950.26
  5. Step 5: Solve for x
    x = 397,672,950.26/20,164.70
  6. Step 6: Final answer
    x = 19,721.24

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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.