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Finding the Fourth Proportional to 12,184.22, 18,272.93 and 5,163.95

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Solution

The fourth proportional to 12,184.22, 18,272.93 and 5,163.95 is: 7,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.22 : 18,272.93 = 5,163.95 : x
  2. Step 2: Convert to fraction form
    12,184.22/18,272.93 = 5,163.95/x
  3. Step 3: Cross multiply
    12,184.22x = 18,272.93 × 5,163.95
  4. Step 4: Simplify right side
    12,184.22x = 94,360,516.74
  5. Step 5: Solve for x
    x = 94,360,516.74/12,184.22
  6. Step 6: Final answer
    x = 7,744.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.