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Finding the Fourth Proportional to 13,184.89, 18,197.18 and 7,519.64

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Solution

The fourth proportional to 13,184.89, 18,197.18 and 7,519.64 is: 10,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.89 : 18,197.18 = 7,519.64 : x
  2. Step 2: Convert to fraction form
    13,184.89/18,197.18 = 7,519.64/x
  3. Step 3: Cross multiply
    13,184.89x = 18,197.18 × 7,519.64
  4. Step 4: Simplify right side
    13,184.89x = 136,836,242.62
  5. Step 5: Solve for x
    x = 136,836,242.62/13,184.89
  6. Step 6: Final answer
    x = 10,378.26

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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.