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Finding the Fourth Proportional to 13,184.50, 18,194.66 and 7,134.74

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Solution

The fourth proportional to 13,184.50, 18,194.66 and 7,134.74 is: 9,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.50 : 18,194.66 = 7,134.74 : x
  2. Step 2: Convert to fraction form
    13,184.50/18,194.66 = 7,134.74/x
  3. Step 3: Cross multiply
    13,184.50x = 18,194.66 × 7,134.74
  4. Step 4: Simplify right side
    13,184.50x = 129,814,231.14
  5. Step 5: Solve for x
    x = 129,814,231.14/13,184.50
  6. Step 6: Final answer
    x = 9,845.97

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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.