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Finding the Fourth Proportional to 13,184.42, 18,194.54 and 7,216.48

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Solution

The fourth proportional to 13,184.42, 18,194.54 and 7,216.48 is: 9,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.42 : 18,194.54 = 7,216.48 : x
  2. Step 2: Convert to fraction form
    13,184.42/18,194.54 = 7,216.48/x
  3. Step 3: Cross multiply
    13,184.42x = 18,194.54 × 7,216.48
  4. Step 4: Simplify right side
    13,184.42x = 131,300,506.57
  5. Step 5: Solve for x
    x = 131,300,506.57/13,184.42
  6. Step 6: Final answer
    x = 9,958.76

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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.