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Finding the Fourth Proportional to 13,187.66, 18,202.25 and 8,945.82

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Solution

The fourth proportional to 13,187.66, 18,202.25 and 8,945.82 is: 12,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.66 : 18,202.25 = 8,945.82 : x
  2. Step 2: Convert to fraction form
    13,187.66/18,202.25 = 8,945.82/x
  3. Step 3: Cross multiply
    13,187.66x = 18,202.25 × 8,945.82
  4. Step 4: Simplify right side
    13,187.66x = 162,834,052.10
  5. Step 5: Solve for x
    x = 162,834,052.10/13,187.66
  6. Step 6: Final answer
    x = 12,347.46

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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.