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Finding the Fourth Proportional to 17,853.15, 24,647.30 and 12,196.38

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Solution

The fourth proportional to 17,853.15, 24,647.30 and 12,196.38 is: 16,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.15 : 24,647.30 = 12,196.38 : x
  2. Step 2: Convert to fraction form
    17,853.15/24,647.30 = 12,196.38/x
  3. Step 3: Cross multiply
    17,853.15x = 24,647.30 × 12,196.38
  4. Step 4: Simplify right side
    17,853.15x = 300,607,836.77
  5. Step 5: Solve for x
    x = 300,607,836.77/17,853.15
  6. Step 6: Final answer
    x = 16,837.80

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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.