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Finding the Fourth Proportional to 27,794.10, 41,706.54 and 10,275.42

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Solution

The fourth proportional to 27,794.10, 41,706.54 and 10,275.42 is: 15,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.10 : 41,706.54 = 10,275.42 : x
  2. Step 2: Convert to fraction form
    27,794.10/41,706.54 = 10,275.42/x
  3. Step 3: Cross multiply
    27,794.10x = 41,706.54 × 10,275.42
  4. Step 4: Simplify right side
    27,794.10x = 428,552,215.25
  5. Step 5: Solve for x
    x = 428,552,215.25/27,794.10
  6. Step 6: Final answer
    x = 15,418.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.