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Finding the Fourth Proportional to 20,142.69, 30,224.27 and 9,047.11

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Solution

The fourth proportional to 20,142.69, 30,224.27 and 9,047.11 is: 13,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.69 : 30,224.27 = 9,047.11 : x
  2. Step 2: Convert to fraction form
    20,142.69/30,224.27 = 9,047.11/x
  3. Step 3: Cross multiply
    20,142.69x = 30,224.27 × 9,047.11
  4. Step 4: Simplify right side
    20,142.69x = 273,442,295.36
  5. Step 5: Solve for x
    x = 273,442,295.36/20,142.69
  6. Step 6: Final answer
    x = 13,575.26

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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.