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Finding the Fourth Proportional to 12,184.49, 18,276.66 and 3,419.41

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Solution

The fourth proportional to 12,184.49, 18,276.66 and 3,419.41 is: 5,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.49 : 18,276.66 = 3,419.41 : x
  2. Step 2: Convert to fraction form
    12,184.49/18,276.66 = 3,419.41/x
  3. Step 3: Cross multiply
    12,184.49x = 18,276.66 × 3,419.41
  4. Step 4: Simplify right side
    12,184.49x = 62,495,357.68
  5. Step 5: Solve for x
    x = 62,495,357.68/12,184.49
  6. Step 6: Final answer
    x = 5,129.09

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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.