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Finding the Fourth Proportional to 14,391.53, 21,593.27 and 6,891.31

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Solution

The fourth proportional to 14,391.53, 21,593.27 and 6,891.31 is: 10,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.53 : 21,593.27 = 6,891.31 : x
  2. Step 2: Convert to fraction form
    14,391.53/21,593.27 = 6,891.31/x
  3. Step 3: Cross multiply
    14,391.53x = 21,593.27 × 6,891.31
  4. Step 4: Simplify right side
    14,391.53x = 148,805,917.48
  5. Step 5: Solve for x
    x = 148,805,917.48/14,391.53
  6. Step 6: Final answer
    x = 10,339.83

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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.