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Finding the Fourth Proportional to 20,042.21, 30,068.43 and 11,729.21

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Solution

The fourth proportional to 20,042.21, 30,068.43 and 11,729.21 is: 17,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.21 : 30,068.43 = 11,729.21 : x
  2. Step 2: Convert to fraction form
    20,042.21/30,068.43 = 11,729.21/x
  3. Step 3: Cross multiply
    20,042.21x = 30,068.43 × 11,729.21
  4. Step 4: Simplify right side
    20,042.21x = 352,678,779.50
  5. Step 5: Solve for x
    x = 352,678,779.50/20,042.21
  6. Step 6: Final answer
    x = 17,596.81

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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.