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Finding the Fourth Proportional to 13,403.67, 18,497.55 and 8,097.46

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Solution

The fourth proportional to 13,403.67, 18,497.55 and 8,097.46 is: 11,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.67 : 18,497.55 = 8,097.46 : x
  2. Step 2: Convert to fraction form
    13,403.67/18,497.55 = 8,097.46/x
  3. Step 3: Cross multiply
    13,403.67x = 18,497.55 × 8,097.46
  4. Step 4: Simplify right side
    13,403.67x = 149,783,189.28
  5. Step 5: Solve for x
    x = 149,783,189.28/13,403.67
  6. Step 6: Final answer
    x = 11,174.79

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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.