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Finding the Fourth Proportional to 20,234.12, 30,356.06 and 6,383.08

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Solution

The fourth proportional to 20,234.12, 30,356.06 and 6,383.08 is: 9,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.12 : 30,356.06 = 6,383.08 : x
  2. Step 2: Convert to fraction form
    20,234.12/30,356.06 = 6,383.08/x
  3. Step 3: Cross multiply
    20,234.12x = 30,356.06 × 6,383.08
  4. Step 4: Simplify right side
    20,234.12x = 193,765,159.46
  5. Step 5: Solve for x
    x = 193,765,159.46/20,234.12
  6. Step 6: Final answer
    x = 9,576.16

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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.