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Finding the Fourth Proportional to 13,450.22, 18,561.76 and 7,400.72

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Solution

The fourth proportional to 13,450.22, 18,561.76 and 7,400.72 is: 10,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.22 : 18,561.76 = 7,400.72 : x
  2. Step 2: Convert to fraction form
    13,450.22/18,561.76 = 7,400.72/x
  3. Step 3: Cross multiply
    13,450.22x = 18,561.76 × 7,400.72
  4. Step 4: Simplify right side
    13,450.22x = 137,370,388.47
  5. Step 5: Solve for x
    x = 137,370,388.47/13,450.22
  6. Step 6: Final answer
    x = 10,213.24

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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.