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Finding the Fourth Proportional to 20,820.74, 31,230.91 and 6,029.54

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Solution

The fourth proportional to 20,820.74, 31,230.91 and 6,029.54 is: 9,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.74 : 31,230.91 = 6,029.54 : x
  2. Step 2: Convert to fraction form
    20,820.74/31,230.91 = 6,029.54/x
  3. Step 3: Cross multiply
    20,820.74x = 31,230.91 × 6,029.54
  4. Step 4: Simplify right side
    20,820.74x = 188,307,834.78
  5. Step 5: Solve for x
    x = 188,307,834.78/20,820.74
  6. Step 6: Final answer
    x = 9,044.24

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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.