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Finding the Fourth Proportional to 12,286.38, 18,423.80 and 4,489.74

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Solution

The fourth proportional to 12,286.38, 18,423.80 and 4,489.74 is: 6,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.38 : 18,423.80 = 4,489.74 : x
  2. Step 2: Convert to fraction form
    12,286.38/18,423.80 = 4,489.74/x
  3. Step 3: Cross multiply
    12,286.38x = 18,423.80 × 4,489.74
  4. Step 4: Simplify right side
    12,286.38x = 82,718,071.81
  5. Step 5: Solve for x
    x = 82,718,071.81/12,286.38
  6. Step 6: Final answer
    x = 6,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.