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Finding the Fourth Proportional to 20,870.54, 31,309.46 and 9,183.46

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Solution

The fourth proportional to 20,870.54, 31,309.46 and 9,183.46 is: 13,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.54 : 31,309.46 = 9,183.46 : x
  2. Step 2: Convert to fraction form
    20,870.54/31,309.46 = 9,183.46/x
  3. Step 3: Cross multiply
    20,870.54x = 31,309.46 × 9,183.46
  4. Step 4: Simplify right side
    20,870.54x = 287,529,173.53
  5. Step 5: Solve for x
    x = 287,529,173.53/20,870.54
  6. Step 6: Final answer
    x = 13,776.80

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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.