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Finding the Fourth Proportional to 20,908.15, 31,353.37 and 8,424.81

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Solution

The fourth proportional to 20,908.15, 31,353.37 and 8,424.81 is: 12,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.15 : 31,353.37 = 8,424.81 : x
  2. Step 2: Convert to fraction form
    20,908.15/31,353.37 = 8,424.81/x
  3. Step 3: Cross multiply
    20,908.15x = 31,353.37 × 8,424.81
  4. Step 4: Simplify right side
    20,908.15x = 264,146,185.11
  5. Step 5: Solve for x
    x = 264,146,185.11/20,908.15
  6. Step 6: Final answer
    x = 12,633.65

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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.