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Finding the Fourth Proportional to 13,463.69, 20,200.39 and 6,892.97

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Solution

The fourth proportional to 13,463.69, 20,200.39 and 6,892.97 is: 10,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.69 : 20,200.39 = 6,892.97 : x
  2. Step 2: Convert to fraction form
    13,463.69/20,200.39 = 6,892.97/x
  3. Step 3: Cross multiply
    13,463.69x = 20,200.39 × 6,892.97
  4. Step 4: Simplify right side
    13,463.69x = 139,240,581.26
  5. Step 5: Solve for x
    x = 139,240,581.26/13,463.69
  6. Step 6: Final answer
    x = 10,341.94

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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.