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Finding the Fourth Proportional to 13,449.92, 18,561.34 and 7,400.40

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Solution

The fourth proportional to 13,449.92, 18,561.34 and 7,400.40 is: 10,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.92 : 18,561.34 = 7,400.40 : x
  2. Step 2: Convert to fraction form
    13,449.92/18,561.34 = 7,400.40/x
  3. Step 3: Cross multiply
    13,449.92x = 18,561.34 × 7,400.40
  4. Step 4: Simplify right side
    13,449.92x = 137,361,340.54
  5. Step 5: Solve for x
    x = 137,361,340.54/13,449.92
  6. Step 6: Final answer
    x = 10,212.80

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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.