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Finding the Fourth Proportional to 19,624.68, 29,418.19 and 12,584.97

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Solution

The fourth proportional to 19,624.68, 29,418.19 and 12,584.97 is: 18,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624.68 : 29,418.19 = 12,584.97 : x
  2. Step 2: Convert to fraction form
    19,624.68/29,418.19 = 12,584.97/x
  3. Step 3: Cross multiply
    19,624.68x = 29,418.19 × 12,584.97
  4. Step 4: Simplify right side
    19,624.68x = 370,227,007.14
  5. Step 5: Solve for x
    x = 370,227,007.14/19,624.68
  6. Step 6: Final answer
    x = 18,865.38

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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.