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Finding the Fourth Proportional to 13,202.34, 18,208.44 and 9,418.83

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Solution

The fourth proportional to 13,202.34, 18,208.44 and 9,418.83 is: 12,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.34 : 18,208.44 = 9,418.83 : x
  2. Step 2: Convert to fraction form
    13,202.34/18,208.44 = 9,418.83/x
  3. Step 3: Cross multiply
    13,202.34x = 18,208.44 × 9,418.83
  4. Step 4: Simplify right side
    13,202.34x = 171,502,200.93
  5. Step 5: Solve for x
    x = 171,502,200.93/13,202.34
  6. Step 6: Final answer
    x = 12,990.29

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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.