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Finding the Fourth Proportional to 13,184.81, 18,194.90 and 7,134.92

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Solution

The fourth proportional to 13,184.81, 18,194.90 and 7,134.92 is: 9,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.81 : 18,194.90 = 7,134.92 : x
  2. Step 2: Convert to fraction form
    13,184.81/18,194.90 = 7,134.92/x
  3. Step 3: Cross multiply
    13,184.81x = 18,194.90 × 7,134.92
  4. Step 4: Simplify right side
    13,184.81x = 129,819,171.74
  5. Step 5: Solve for x
    x = 129,819,171.74/13,184.81
  6. Step 6: Final answer
    x = 9,846.12

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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.