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Finding the Fourth Proportional to 13,885.38, 19,149.69 and 9,844.20

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Solution

The fourth proportional to 13,885.38, 19,149.69 and 9,844.20 is: 13,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.38 : 19,149.69 = 9,844.20 : x
  2. Step 2: Convert to fraction form
    13,885.38/19,149.69 = 9,844.20/x
  3. Step 3: Cross multiply
    13,885.38x = 19,149.69 × 9,844.20
  4. Step 4: Simplify right side
    13,885.38x = 188,513,378.30
  5. Step 5: Solve for x
    x = 188,513,378.30/13,885.38
  6. Step 6: Final answer
    x = 13,576.39

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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.