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Finding the Fourth Proportional to 27,675, 41,513.24 and 9,207

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Solution

The fourth proportional to 27,675, 41,513.24 and 9,207 is: 13,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 41,513.24 = 9,207 : x
  2. Step 2: Convert to fraction form
    27,675/41,513.24 = 9,207/x
  3. Step 3: Cross multiply
    27,675x = 41,513.24 × 9,207
  4. Step 4: Simplify right side
    27,675x = 382,212,400.68
  5. Step 5: Solve for x
    x = 382,212,400.68/27,675
  6. Step 6: Final answer
    x = 13,810.75

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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.