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Finding the Fourth Proportional to 19,735.72, 27,234.44 and 10,782.80

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Solution

The fourth proportional to 19,735.72, 27,234.44 and 10,782.80 is: 14,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.72 : 27,234.44 = 10,782.80 : x
  2. Step 2: Convert to fraction form
    19,735.72/27,234.44 = 10,782.80/x
  3. Step 3: Cross multiply
    19,735.72x = 27,234.44 × 10,782.80
  4. Step 4: Simplify right side
    19,735.72x = 293,663,519.63
  5. Step 5: Solve for x
    x = 293,663,519.63/19,735.72
  6. Step 6: Final answer
    x = 14,879.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.