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Finding the Fourth Proportional to 11,899.20, 17,860.42 and 9,937.38

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Solution

The fourth proportional to 11,899.20, 17,860.42 and 9,937.38 is: 14,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.20 : 17,860.42 = 9,937.38 : x
  2. Step 2: Convert to fraction form
    11,899.20/17,860.42 = 9,937.38/x
  3. Step 3: Cross multiply
    11,899.20x = 17,860.42 × 9,937.38
  4. Step 4: Simplify right side
    11,899.20x = 177,485,780.50
  5. Step 5: Solve for x
    x = 177,485,780.50/11,899.20
  6. Step 6: Final answer
    x = 14,915.77

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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.