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Finding the Fourth Proportional to 20,192.57, 30,293.64 and 6,341.57

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Solution

The fourth proportional to 20,192.57, 30,293.64 and 6,341.57 is: 9,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.57 : 30,293.64 = 6,341.57 : x
  2. Step 2: Convert to fraction form
    20,192.57/30,293.64 = 6,341.57/x
  3. Step 3: Cross multiply
    20,192.57x = 30,293.64 × 6,341.57
  4. Step 4: Simplify right side
    20,192.57x = 192,109,087.15
  5. Step 5: Solve for x
    x = 192,109,087.15/20,192.57
  6. Step 6: Final answer
    x = 9,513.85

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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.