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Finding the Fourth Proportional to 20,101.83, 30,169.14 and 10,243.92

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Solution

The fourth proportional to 20,101.83, 30,169.14 and 10,243.92 is: 15,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.83 : 30,169.14 = 10,243.92 : x
  2. Step 2: Convert to fraction form
    20,101.83/30,169.14 = 10,243.92/x
  3. Step 3: Cross multiply
    20,101.83x = 30,169.14 × 10,243.92
  4. Step 4: Simplify right side
    20,101.83x = 309,050,256.63
  5. Step 5: Solve for x
    x = 309,050,256.63/20,101.83
  6. Step 6: Final answer
    x = 15,374.23

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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.