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Finding the Fourth Proportional to 13,202.09, 18,208.09 and 9,418.58

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Solution

The fourth proportional to 13,202.09, 18,208.09 and 9,418.58 is: 12,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.09 : 18,208.09 = 9,418.58 : x
  2. Step 2: Convert to fraction form
    13,202.09/18,208.09 = 9,418.58/x
  3. Step 3: Cross multiply
    13,202.09x = 18,208.09 × 9,418.58
  4. Step 4: Simplify right side
    13,202.09x = 171,494,352.31
  5. Step 5: Solve for x
    x = 171,494,352.31/13,202.09
  6. Step 6: Final answer
    x = 12,989.94

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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.