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Finding the Fourth Proportional to 13,946.85, 19,241.35 and 9,169.38

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Solution

The fourth proportional to 13,946.85, 19,241.35 and 9,169.38 is: 12,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.85 : 19,241.35 = 9,169.38 : x
  2. Step 2: Convert to fraction form
    13,946.85/19,241.35 = 9,169.38/x
  3. Step 3: Cross multiply
    13,946.85x = 19,241.35 × 9,169.38
  4. Step 4: Simplify right side
    13,946.85x = 176,431,226.94
  5. Step 5: Solve for x
    x = 176,431,226.94/13,946.85
  6. Step 6: Final answer
    x = 12,650.26

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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.