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Finding the Fourth Proportional to 20,142.83, 30,203.85 and 9,039.99

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Solution

The fourth proportional to 20,142.83, 30,203.85 and 9,039.99 is: 13,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.83 : 30,203.85 = 9,039.99 : x
  2. Step 2: Convert to fraction form
    20,142.83/30,203.85 = 9,039.99/x
  3. Step 3: Cross multiply
    20,142.83x = 30,203.85 × 9,039.99
  4. Step 4: Simplify right side
    20,142.83x = 273,042,501.96
  5. Step 5: Solve for x
    x = 273,042,501.96/20,142.83
  6. Step 6: Final answer
    x = 13,555.32

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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.