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Finding the Fourth Proportional to 20,138.74, 30,218.01 and 9,053.26

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Solution

The fourth proportional to 20,138.74, 30,218.01 and 9,053.26 is: 13,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.74 : 30,218.01 = 9,053.26 : x
  2. Step 2: Convert to fraction form
    20,138.74/30,218.01 = 9,053.26/x
  3. Step 3: Cross multiply
    20,138.74x = 30,218.01 × 9,053.26
  4. Step 4: Simplify right side
    20,138.74x = 273,571,501.21
  5. Step 5: Solve for x
    x = 273,571,501.21/20,138.74
  6. Step 6: Final answer
    x = 13,584.34

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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.