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Finding the Fourth Proportional to 21,753.90, 32,632.38 and 6,759

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Solution

The fourth proportional to 21,753.90, 32,632.38 and 6,759 is: 10,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.90 : 32,632.38 = 6,759 : x
  2. Step 2: Convert to fraction form
    21,753.90/32,632.38 = 6,759/x
  3. Step 3: Cross multiply
    21,753.90x = 32,632.38 × 6,759
  4. Step 4: Simplify right side
    21,753.90x = 220,562,256.42
  5. Step 5: Solve for x
    x = 220,562,256.42/21,753.90
  6. Step 6: Final answer
    x = 10,138.98

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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.