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Finding the Fourth Proportional to 12,627.25, 17,433.08 and 11,226.13

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Solution

The fourth proportional to 12,627.25, 17,433.08 and 11,226.13 is: 15,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.25 : 17,433.08 = 11,226.13 : x
  2. Step 2: Convert to fraction form
    12,627.25/17,433.08 = 11,226.13/x
  3. Step 3: Cross multiply
    12,627.25x = 17,433.08 × 11,226.13
  4. Step 4: Simplify right side
    12,627.25x = 195,706,022.38
  5. Step 5: Solve for x
    x = 195,706,022.38/12,627.25
  6. Step 6: Final answer
    x = 15,498.70

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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.