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Finding the Fourth Proportional to 12,204, 18,295.14 and 4,411.08

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Solution

The fourth proportional to 12,204, 18,295.14 and 4,411.08 is: 6,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204 : 18,295.14 = 4,411.08 : x
  2. Step 2: Convert to fraction form
    12,204/18,295.14 = 4,411.08/x
  3. Step 3: Cross multiply
    12,204x = 18,295.14 × 4,411.08
  4. Step 4: Simplify right side
    12,204x = 80,701,326.15
  5. Step 5: Solve for x
    x = 80,701,326.15/12,204
  6. Step 6: Final answer
    x = 6,612.69

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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.