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Finding the Fourth Proportional to 20,174.67, 30,264.84 and 5,384.07

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Solution

The fourth proportional to 20,174.67, 30,264.84 and 5,384.07 is: 8,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.67 : 30,264.84 = 5,384.07 : x
  2. Step 2: Convert to fraction form
    20,174.67/30,264.84 = 5,384.07/x
  3. Step 3: Cross multiply
    20,174.67x = 30,264.84 × 5,384.07
  4. Step 4: Simplify right side
    20,174.67x = 162,948,017.10
  5. Step 5: Solve for x
    x = 162,948,017.10/20,174.67
  6. Step 6: Final answer
    x = 8,076.86

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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.