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Finding the Fourth Proportional to 19,912.12, 29,873.10 and 8,228.68

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Solution

The fourth proportional to 19,912.12, 29,873.10 and 8,228.68 is: 12,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.12 : 29,873.10 = 8,228.68 : x
  2. Step 2: Convert to fraction form
    19,912.12/29,873.10 = 8,228.68/x
  3. Step 3: Cross multiply
    19,912.12x = 29,873.10 × 8,228.68
  4. Step 4: Simplify right side
    19,912.12x = 245,816,180.51
  5. Step 5: Solve for x
    x = 245,816,180.51/19,912.12
  6. Step 6: Final answer
    x = 12,345.05

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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.