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Finding the Fourth Proportional to 13,187.24, 18,203 and 8,155.32

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Solution

The fourth proportional to 13,187.24, 18,203 and 8,155.32 is: 11,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.24 : 18,203 = 8,155.32 : x
  2. Step 2: Convert to fraction form
    13,187.24/18,203 = 8,155.32/x
  3. Step 3: Cross multiply
    13,187.24x = 18,203 × 8,155.32
  4. Step 4: Simplify right side
    13,187.24x = 148,451,289.96
  5. Step 5: Solve for x
    x = 148,451,289.96/13,187.24
  6. Step 6: Final answer
    x = 11,257.19

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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.