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Finding the Fourth Proportional to 14,232.20, 21,351.02 and 6,441

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Solution

The fourth proportional to 14,232.20, 21,351.02 and 6,441 is: 9,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.20 : 21,351.02 = 6,441 : x
  2. Step 2: Convert to fraction form
    14,232.20/21,351.02 = 6,441/x
  3. Step 3: Cross multiply
    14,232.20x = 21,351.02 × 6,441
  4. Step 4: Simplify right side
    14,232.20x = 137,521,887.62
  5. Step 5: Solve for x
    x = 137,521,887.62/14,232.20
  6. Step 6: Final answer
    x = 9,662.73

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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.