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Finding the Fourth Proportional to 21,757.50, 32,631.68 and 10,653

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Solution

The fourth proportional to 21,757.50, 32,631.68 and 10,653 is: 15,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.50 : 32,631.68 = 10,653 : x
  2. Step 2: Convert to fraction form
    21,757.50/32,631.68 = 10,653/x
  3. Step 3: Cross multiply
    21,757.50x = 32,631.68 × 10,653
  4. Step 4: Simplify right side
    21,757.50x = 347,625,233.78
  5. Step 5: Solve for x
    x = 347,625,233.78/21,757.50
  6. Step 6: Final answer
    x = 15,977.26

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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.