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Finding the Fourth Proportional to 20,703.36, 31,034.79 and 8,219.24

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Solution

The fourth proportional to 20,703.36, 31,034.79 and 8,219.24 is: 12,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.36 : 31,034.79 = 8,219.24 : x
  2. Step 2: Convert to fraction form
    20,703.36/31,034.79 = 8,219.24/x
  3. Step 3: Cross multiply
    20,703.36x = 31,034.79 × 8,219.24
  4. Step 4: Simplify right side
    20,703.36x = 255,082,232.19
  5. Step 5: Solve for x
    x = 255,082,232.19/20,703.36
  6. Step 6: Final answer
    x = 12,320.81

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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.