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Finding the Fourth Proportional to 13,185.84, 18,202.40 and 8,412.20

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Solution

The fourth proportional to 13,185.84, 18,202.40 and 8,412.20 is: 11,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.84 : 18,202.40 = 8,412.20 : x
  2. Step 2: Convert to fraction form
    13,185.84/18,202.40 = 8,412.20/x
  3. Step 3: Cross multiply
    13,185.84x = 18,202.40 × 8,412.20
  4. Step 4: Simplify right side
    13,185.84x = 153,122,229.28
  5. Step 5: Solve for x
    x = 153,122,229.28/13,185.84
  6. Step 6: Final answer
    x = 11,612.63

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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.