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Finding the Fourth Proportional to 11,624.74, 17,439.71 and 4,229.17

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Solution

The fourth proportional to 11,624.74, 17,439.71 and 4,229.17 is: 6,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.74 : 17,439.71 = 4,229.17 : x
  2. Step 2: Convert to fraction form
    11,624.74/17,439.71 = 4,229.17/x
  3. Step 3: Cross multiply
    11,624.74x = 17,439.71 × 4,229.17
  4. Step 4: Simplify right side
    11,624.74x = 73,755,433.60
  5. Step 5: Solve for x
    x = 73,755,433.60/11,624.74
  6. Step 6: Final answer
    x = 6,344.70

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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.