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Finding the Fourth Proportional to 16,482, 24,661 and 11,561.24

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Solution

The fourth proportional to 16,482, 24,661 and 11,561.24 is: 17,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 24,661 = 11,561.24 : x
  2. Step 2: Convert to fraction form
    16,482/24,661 = 11,561.24/x
  3. Step 3: Cross multiply
    16,482x = 24,661 × 11,561.24
  4. Step 4: Simplify right side
    16,482x = 285,111,739.64
  5. Step 5: Solve for x
    x = 285,111,739.64/16,482
  6. Step 6: Final answer
    x = 17,298.37

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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.