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Finding the Fourth Proportional to 12,204.65, 18,306.97 and 4,411.64

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Solution

The fourth proportional to 12,204.65, 18,306.97 and 4,411.64 is: 6,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.65 : 18,306.97 = 4,411.64 : x
  2. Step 2: Convert to fraction form
    12,204.65/18,306.97 = 4,411.64/x
  3. Step 3: Cross multiply
    12,204.65x = 18,306.97 × 4,411.64
  4. Step 4: Simplify right side
    12,204.65x = 80,763,717.71
  5. Step 5: Solve for x
    x = 80,763,717.71/12,204.65
  6. Step 6: Final answer
    x = 6,617.46

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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.