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Finding the Fourth Proportional to 24,641.42, 36,908.44 and 16,198.40

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Solution

The fourth proportional to 24,641.42, 36,908.44 and 16,198.40 is: 24,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.42 : 36,908.44 = 16,198.40 : x
  2. Step 2: Convert to fraction form
    24,641.42/36,908.44 = 16,198.40/x
  3. Step 3: Cross multiply
    24,641.42x = 36,908.44 × 16,198.40
  4. Step 4: Simplify right side
    24,641.42x = 597,857,674.50
  5. Step 5: Solve for x
    x = 597,857,674.50/24,641.42
  6. Step 6: Final answer
    x = 24,262.31

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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.