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Finding the Fourth Proportional to 12,184.63, 18,276.94 and 4,292.97

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Solution

The fourth proportional to 12,184.63, 18,276.94 and 4,292.97 is: 6,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.63 : 18,276.94 = 4,292.97 : x
  2. Step 2: Convert to fraction form
    12,184.63/18,276.94 = 4,292.97/x
  3. Step 3: Cross multiply
    12,184.63x = 18,276.94 × 4,292.97
  4. Step 4: Simplify right side
    12,184.63x = 78,462,355.11
  5. Step 5: Solve for x
    x = 78,462,355.11/12,184.63
  6. Step 6: Final answer
    x = 6,439.45

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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.