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Finding the Fourth Proportional to 20,013.96, 30,038.16 and 8,174.04

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Solution

The fourth proportional to 20,013.96, 30,038.16 and 8,174.04 is: 12,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.96 : 30,038.16 = 8,174.04 : x
  2. Step 2: Convert to fraction form
    20,013.96/30,038.16 = 8,174.04/x
  3. Step 3: Cross multiply
    20,013.96x = 30,038.16 × 8,174.04
  4. Step 4: Simplify right side
    20,013.96x = 245,533,121.37
  5. Step 5: Solve for x
    x = 245,533,121.37/20,013.96
  6. Step 6: Final answer
    x = 12,268.09

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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.