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Finding the Fourth Proportional to 20,762.78, 31,149.13 and 6,722.82

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Solution

The fourth proportional to 20,762.78, 31,149.13 and 6,722.82 is: 10,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.78 : 31,149.13 = 6,722.82 : x
  2. Step 2: Convert to fraction form
    20,762.78/31,149.13 = 6,722.82/x
  3. Step 3: Cross multiply
    20,762.78x = 31,149.13 × 6,722.82
  4. Step 4: Simplify right side
    20,762.78x = 209,409,964.73
  5. Step 5: Solve for x
    x = 209,409,964.73/20,762.78
  6. Step 6: Final answer
    x = 10,085.84

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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.