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Finding the Fourth Proportional to 20,142.48, 30,203.34 and 9,039.65

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Solution

The fourth proportional to 20,142.48, 30,203.34 and 9,039.65 is: 13,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.48 : 30,203.34 = 9,039.65 : x
  2. Step 2: Convert to fraction form
    20,142.48/30,203.34 = 9,039.65/x
  3. Step 3: Cross multiply
    20,142.48x = 30,203.34 × 9,039.65
  4. Step 4: Simplify right side
    20,142.48x = 273,027,471.41
  5. Step 5: Solve for x
    x = 273,027,471.41/20,142.48
  6. Step 6: Final answer
    x = 13,554.81

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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.