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Finding the Fourth Proportional to 16,121.10, 24,181.65 and 13,666.80

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Solution

The fourth proportional to 16,121.10, 24,181.65 and 13,666.80 is: 20,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.10 : 24,181.65 = 13,666.80 : x
  2. Step 2: Convert to fraction form
    16,121.10/24,181.65 = 13,666.80/x
  3. Step 3: Cross multiply
    16,121.10x = 24,181.65 × 13,666.80
  4. Step 4: Simplify right side
    16,121.10x = 330,485,774.22
  5. Step 5: Solve for x
    x = 330,485,774.22/16,121.10
  6. Step 6: Final answer
    x = 20,500.20

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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.