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Finding the Fourth Proportional to 13,184.74, 18,194.25 and 7,517.98

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Solution

The fourth proportional to 13,184.74, 18,194.25 and 7,517.98 is: 10,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.74 : 18,194.25 = 7,517.98 : x
  2. Step 2: Convert to fraction form
    13,184.74/18,194.25 = 7,517.98/x
  3. Step 3: Cross multiply
    13,184.74x = 18,194.25 × 7,517.98
  4. Step 4: Simplify right side
    13,184.74x = 136,784,007.62
  5. Step 5: Solve for x
    x = 136,784,007.62/13,184.74
  6. Step 6: Final answer
    x = 10,374.42

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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.