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Finding the Fourth Proportional to 14,381, 21,571.50 and 4,653

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Solution

The fourth proportional to 14,381, 21,571.50 and 4,653 is: 6,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381 : 21,571.50 = 4,653 : x
  2. Step 2: Convert to fraction form
    14,381/21,571.50 = 4,653/x
  3. Step 3: Cross multiply
    14,381x = 21,571.50 × 4,653
  4. Step 4: Simplify right side
    14,381x = 100,372,189.50
  5. Step 5: Solve for x
    x = 100,372,189.50/14,381
  6. Step 6: Final answer
    x = 6,979.50

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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.