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Finding the Fourth Proportional to 20,857.62, 28,782.36 and 11,424.36

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Solution

The fourth proportional to 20,857.62, 28,782.36 and 11,424.36 is: 15,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.62 : 28,782.36 = 11,424.36 : x
  2. Step 2: Convert to fraction form
    20,857.62/28,782.36 = 11,424.36/x
  3. Step 3: Cross multiply
    20,857.62x = 28,782.36 × 11,424.36
  4. Step 4: Simplify right side
    20,857.62x = 328,820,042.29
  5. Step 5: Solve for x
    x = 328,820,042.29/20,857.62
  6. Step 6: Final answer
    x = 15,764.98

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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.