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Finding the Fourth Proportional to 27,725.88, 41,600.73 and 9,011.65

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Solution

The fourth proportional to 27,725.88, 41,600.73 and 9,011.65 is: 13,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.88 : 41,600.73 = 9,011.65 : x
  2. Step 2: Convert to fraction form
    27,725.88/41,600.73 = 9,011.65/x
  3. Step 3: Cross multiply
    27,725.88x = 41,600.73 × 9,011.65
  4. Step 4: Simplify right side
    27,725.88x = 374,891,218.50
  5. Step 5: Solve for x
    x = 374,891,218.50/27,725.88
  6. Step 6: Final answer
    x = 13,521.35

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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.