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Finding the Fourth Proportional to 20,149.14, 30,223.74 and 6,109.02

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Solution

The fourth proportional to 20,149.14, 30,223.74 and 6,109.02 is: 9,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.14 : 30,223.74 = 6,109.02 : x
  2. Step 2: Convert to fraction form
    20,149.14/30,223.74 = 6,109.02/x
  3. Step 3: Cross multiply
    20,149.14x = 30,223.74 × 6,109.02
  4. Step 4: Simplify right side
    20,149.14x = 184,637,432.13
  5. Step 5: Solve for x
    x = 184,637,432.13/20,149.14
  6. Step 6: Final answer
    x = 9,163.54

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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.