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Finding the Fourth Proportional to 14,573.30, 21,843.54 and 5,797.96

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Solution

The fourth proportional to 14,573.30, 21,843.54 and 5,797.96 is: 8,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.30 : 21,843.54 = 5,797.96 : x
  2. Step 2: Convert to fraction form
    14,573.30/21,843.54 = 5,797.96/x
  3. Step 3: Cross multiply
    14,573.30x = 21,843.54 × 5,797.96
  4. Step 4: Simplify right side
    14,573.30x = 126,647,916.57
  5. Step 5: Solve for x
    x = 126,647,916.57/14,573.30
  6. Step 6: Final answer
    x = 8,690.41

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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.