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Finding the Fourth Proportional to 20,253.74, 30,394.17 and 7,106.22

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Solution

The fourth proportional to 20,253.74, 30,394.17 and 7,106.22 is: 10,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.74 : 30,394.17 = 7,106.22 : x
  2. Step 2: Convert to fraction form
    20,253.74/30,394.17 = 7,106.22/x
  3. Step 3: Cross multiply
    20,253.74x = 30,394.17 × 7,106.22
  4. Step 4: Simplify right side
    20,253.74x = 215,987,658.74
  5. Step 5: Solve for x
    x = 215,987,658.74/20,253.74
  6. Step 6: Final answer
    x = 10,664.09

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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.