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Finding the Fourth Proportional to 12,414.84, 18,624.18 and 5,841.72

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Solution

The fourth proportional to 12,414.84, 18,624.18 and 5,841.72 is: 8,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.84 : 18,624.18 = 5,841.72 : x
  2. Step 2: Convert to fraction form
    12,414.84/18,624.18 = 5,841.72/x
  3. Step 3: Cross multiply
    12,414.84x = 18,624.18 × 5,841.72
  4. Step 4: Simplify right side
    12,414.84x = 108,797,244.79
  5. Step 5: Solve for x
    x = 108,797,244.79/12,414.84
  6. Step 6: Final answer
    x = 8,763.48

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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.