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Finding the Fourth Proportional to 17,877.38, 24,671.90 and 10,325.09

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Solution

The fourth proportional to 17,877.38, 24,671.90 and 10,325.09 is: 14,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.38 : 24,671.90 = 10,325.09 : x
  2. Step 2: Convert to fraction form
    17,877.38/24,671.90 = 10,325.09/x
  3. Step 3: Cross multiply
    17,877.38x = 24,671.90 × 10,325.09
  4. Step 4: Simplify right side
    17,877.38x = 254,739,587.97
  5. Step 5: Solve for x
    x = 254,739,587.97/17,877.38
  6. Step 6: Final answer
    x = 14,249.27

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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.