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Finding the Fourth Proportional to 21,666, 32,499 and 5,250

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Solution

The fourth proportional to 21,666, 32,499 and 5,250 is: 7,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666 : 32,499 = 5,250 : x
  2. Step 2: Convert to fraction form
    21,666/32,499 = 5,250/x
  3. Step 3: Cross multiply
    21,666x = 32,499 × 5,250
  4. Step 4: Simplify right side
    21,666x = 170,619,750
  5. Step 5: Solve for x
    x = 170,619,750/21,666
  6. Step 6: Final answer
    x = 7,875

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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.