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Finding the Fourth Proportional to 13,403.17, 18,497.22 and 7,738.96

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Solution

The fourth proportional to 13,403.17, 18,497.22 and 7,738.96 is: 10,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.17 : 18,497.22 = 7,738.96 : x
  2. Step 2: Convert to fraction form
    13,403.17/18,497.22 = 7,738.96/x
  3. Step 3: Cross multiply
    13,403.17x = 18,497.22 × 7,738.96
  4. Step 4: Simplify right side
    13,403.17x = 143,149,245.69
  5. Step 5: Solve for x
    x = 143,149,245.69/13,403.17
  6. Step 6: Final answer
    x = 10,680.25

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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.