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Finding the Fourth Proportional to 20,559.46, 30,842.10 and 6,329.11

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Solution

The fourth proportional to 20,559.46, 30,842.10 and 6,329.11 is: 9,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.46 : 30,842.10 = 6,329.11 : x
  2. Step 2: Convert to fraction form
    20,559.46/30,842.10 = 6,329.11/x
  3. Step 3: Cross multiply
    20,559.46x = 30,842.10 × 6,329.11
  4. Step 4: Simplify right side
    20,559.46x = 195,203,043.53
  5. Step 5: Solve for x
    x = 195,203,043.53/20,559.46
  6. Step 6: Final answer
    x = 9,494.56

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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.