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Finding the Fourth Proportional to 20,580.20, 30,851.82 and 7,429.48

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Solution

The fourth proportional to 20,580.20, 30,851.82 and 7,429.48 is: 11,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.20 : 30,851.82 = 7,429.48 : x
  2. Step 2: Convert to fraction form
    20,580.20/30,851.82 = 7,429.48/x
  3. Step 3: Cross multiply
    20,580.20x = 30,851.82 × 7,429.48
  4. Step 4: Simplify right side
    20,580.20x = 229,212,979.65
  5. Step 5: Solve for x
    x = 229,212,979.65/20,580.20
  6. Step 6: Final answer
    x = 11,137.55

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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.