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Finding the Fourth Proportional to 13,184.52, 18,194.62 and 7,216.18

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Solution

The fourth proportional to 13,184.52, 18,194.62 and 7,216.18 is: 9,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.52 : 18,194.62 = 7,216.18 : x
  2. Step 2: Convert to fraction form
    13,184.52/18,194.62 = 7,216.18/x
  3. Step 3: Cross multiply
    13,184.52x = 18,194.62 × 7,216.18
  4. Step 4: Simplify right side
    13,184.52x = 131,295,652.95
  5. Step 5: Solve for x
    x = 131,295,652.95/13,184.52
  6. Step 6: Final answer
    x = 9,958.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.