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Finding the Fourth Proportional to 16,561.20, 22,832.08 and 11,246.80

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Solution

The fourth proportional to 16,561.20, 22,832.08 and 11,246.80 is: 15,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.20 : 22,832.08 = 11,246.80 : x
  2. Step 2: Convert to fraction form
    16,561.20/22,832.08 = 11,246.80/x
  3. Step 3: Cross multiply
    16,561.20x = 22,832.08 × 11,246.80
  4. Step 4: Simplify right side
    16,561.20x = 256,787,837.34
  5. Step 5: Solve for x
    x = 256,787,837.34/16,561.20
  6. Step 6: Final answer
    x = 15,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.