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Finding the Fourth Proportional to 21,662.84, 32,491.74 and 6,081.80

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Solution

The fourth proportional to 21,662.84, 32,491.74 and 6,081.80 is: 9,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.84 : 32,491.74 = 6,081.80 : x
  2. Step 2: Convert to fraction form
    21,662.84/32,491.74 = 6,081.80/x
  3. Step 3: Cross multiply
    21,662.84x = 32,491.74 × 6,081.80
  4. Step 4: Simplify right side
    21,662.84x = 197,608,264.33
  5. Step 5: Solve for x
    x = 197,608,264.33/21,662.84
  6. Step 6: Final answer
    x = 9,121.99

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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.