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Finding the Fourth Proportional to 27,814.36, 41,721.72 and 7,037.92

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Solution

The fourth proportional to 27,814.36, 41,721.72 and 7,037.92 is: 10,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.36 : 41,721.72 = 7,037.92 : x
  2. Step 2: Convert to fraction form
    27,814.36/41,721.72 = 7,037.92/x
  3. Step 3: Cross multiply
    27,814.36x = 41,721.72 × 7,037.92
  4. Step 4: Simplify right side
    27,814.36x = 293,634,127.62
  5. Step 5: Solve for x
    x = 293,634,127.62/27,814.36
  6. Step 6: Final answer
    x = 10,556.93

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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.