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Finding the Fourth Proportional to 20,153.14, 30,229.74 and 6,113.02

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Solution

The fourth proportional to 20,153.14, 30,229.74 and 6,113.02 is: 9,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.14 : 30,229.74 = 6,113.02 : x
  2. Step 2: Convert to fraction form
    20,153.14/30,229.74 = 6,113.02/x
  3. Step 3: Cross multiply
    20,153.14x = 30,229.74 × 6,113.02
  4. Step 4: Simplify right side
    20,153.14x = 184,795,005.21
  5. Step 5: Solve for x
    x = 184,795,005.21/20,153.14
  6. Step 6: Final answer
    x = 9,169.54

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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.