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Finding the Fourth Proportional to 21,882, 32,823.04 and 5,466

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Solution

The fourth proportional to 21,882, 32,823.04 and 5,466 is: 8,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 32,823.04 = 5,466 : x
  2. Step 2: Convert to fraction form
    21,882/32,823.04 = 5,466/x
  3. Step 3: Cross multiply
    21,882x = 32,823.04 × 5,466
  4. Step 4: Simplify right side
    21,882x = 179,410,736.64
  5. Step 5: Solve for x
    x = 179,410,736.64/21,882
  6. Step 6: Final answer
    x = 8,199.01

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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.