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Finding the Fourth Proportional to 21,754.83, 32,599.02 and 16,181.22

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Solution

The fourth proportional to 21,754.83, 32,599.02 and 16,181.22 is: 24,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.83 : 32,599.02 = 16,181.22 : x
  2. Step 2: Convert to fraction form
    21,754.83/32,599.02 = 16,181.22/x
  3. Step 3: Cross multiply
    21,754.83x = 32,599.02 × 16,181.22
  4. Step 4: Simplify right side
    21,754.83x = 527,491,914.40
  5. Step 5: Solve for x
    x = 527,491,914.40/21,754.83
  6. Step 6: Final answer
    x = 24,247.12

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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.