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Finding the Fourth Proportional to 27,814.42, 41,721.66 and 7,037.92

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Solution

The fourth proportional to 27,814.42, 41,721.66 and 7,037.92 is: 10,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.42 : 41,721.66 = 7,037.92 : x
  2. Step 2: Convert to fraction form
    27,814.42/41,721.66 = 7,037.92/x
  3. Step 3: Cross multiply
    27,814.42x = 41,721.66 × 7,037.92
  4. Step 4: Simplify right side
    27,814.42x = 293,633,705.35
  5. Step 5: Solve for x
    x = 293,633,705.35/27,814.42
  6. Step 6: Final answer
    x = 10,556.89

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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.