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Finding the Fourth Proportional to 21,584.84, 29,786.99 and 12,024.83

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Solution

The fourth proportional to 21,584.84, 29,786.99 and 12,024.83 is: 16,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.84 : 29,786.99 = 12,024.83 : x
  2. Step 2: Convert to fraction form
    21,584.84/29,786.99 = 12,024.83/x
  3. Step 3: Cross multiply
    21,584.84x = 29,786.99 × 12,024.83
  4. Step 4: Simplify right side
    21,584.84x = 358,183,505.31
  5. Step 5: Solve for x
    x = 358,183,505.31/21,584.84
  6. Step 6: Final answer
    x = 16,594.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.