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Finding the Fourth Proportional to 27,422.94, 41,129.46 and 7,696.65

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Solution

The fourth proportional to 27,422.94, 41,129.46 and 7,696.65 is: 11,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.94 : 41,129.46 = 7,696.65 : x
  2. Step 2: Convert to fraction form
    27,422.94/41,129.46 = 7,696.65/x
  3. Step 3: Cross multiply
    27,422.94x = 41,129.46 × 7,696.65
  4. Step 4: Simplify right side
    27,422.94x = 316,559,058.31
  5. Step 5: Solve for x
    x = 316,559,058.31/27,422.94
  6. Step 6: Final answer
    x = 11,543.59

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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.