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Finding the Fourth Proportional to 13,407.67, 18,499.89 and 8,102.78

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Solution

The fourth proportional to 13,407.67, 18,499.89 and 8,102.78 is: 11,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.67 : 18,499.89 = 8,102.78 : x
  2. Step 2: Convert to fraction form
    13,407.67/18,499.89 = 8,102.78/x
  3. Step 3: Cross multiply
    13,407.67x = 18,499.89 × 8,102.78
  4. Step 4: Simplify right side
    13,407.67x = 149,900,538.69
  5. Step 5: Solve for x
    x = 149,900,538.69/13,407.67
  6. Step 6: Final answer
    x = 11,180.21

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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.