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Finding the Fourth Proportional to 13,633.92, 18,809.44 and 10,057.46

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Solution

The fourth proportional to 13,633.92, 18,809.44 and 10,057.46 is: 13,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.92 : 18,809.44 = 10,057.46 : x
  2. Step 2: Convert to fraction form
    13,633.92/18,809.44 = 10,057.46/x
  3. Step 3: Cross multiply
    13,633.92x = 18,809.44 × 10,057.46
  4. Step 4: Simplify right side
    13,633.92x = 189,175,190.42
  5. Step 5: Solve for x
    x = 189,175,190.42/13,633.92
  6. Step 6: Final answer
    x = 13,875.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.