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Finding the Fourth Proportional to 20,147.30, 30,219.74 and 6,107.08

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Solution

The fourth proportional to 20,147.30, 30,219.74 and 6,107.08 is: 9,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.30 : 30,219.74 = 6,107.08 : x
  2. Step 2: Convert to fraction form
    20,147.30/30,219.74 = 6,107.08/x
  3. Step 3: Cross multiply
    20,147.30x = 30,219.74 × 6,107.08
  4. Step 4: Simplify right side
    20,147.30x = 184,554,369.76
  5. Step 5: Solve for x
    x = 184,554,369.76/20,147.30
  6. Step 6: Final answer
    x = 9,160.25

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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.