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Finding the Fourth Proportional to 12,184.57, 18,277.22 and 3,419.49

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Solution

The fourth proportional to 12,184.57, 18,277.22 and 3,419.49 is: 5,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.57 : 18,277.22 = 3,419.49 : x
  2. Step 2: Convert to fraction form
    12,184.57/18,277.22 = 3,419.49/x
  3. Step 3: Cross multiply
    12,184.57x = 18,277.22 × 3,419.49
  4. Step 4: Simplify right side
    12,184.57x = 62,498,771.02
  5. Step 5: Solve for x
    x = 62,498,771.02/12,184.57
  6. Step 6: Final answer
    x = 5,129.34

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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.