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Finding the Fourth Proportional to 13,406.86, 18,505.34 and 8,102.08

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Solution

The fourth proportional to 13,406.86, 18,505.34 and 8,102.08 is: 11,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.86 : 18,505.34 = 8,102.08 : x
  2. Step 2: Convert to fraction form
    13,406.86/18,505.34 = 8,102.08/x
  3. Step 3: Cross multiply
    13,406.86x = 18,505.34 × 8,102.08
  4. Step 4: Simplify right side
    13,406.86x = 149,931,745.11
  5. Step 5: Solve for x
    x = 149,931,745.11/13,406.86
  6. Step 6: Final answer
    x = 11,183.21

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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.