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Finding the Fourth Proportional to 20,568.78, 28,384.41 and 11,616

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Solution

The fourth proportional to 20,568.78, 28,384.41 and 11,616 is: 16,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.78 : 28,384.41 = 11,616 : x
  2. Step 2: Convert to fraction form
    20,568.78/28,384.41 = 11,616/x
  3. Step 3: Cross multiply
    20,568.78x = 28,384.41 × 11,616
  4. Step 4: Simplify right side
    20,568.78x = 329,713,306.56
  5. Step 5: Solve for x
    x = 329,713,306.56/20,568.78
  6. Step 6: Final answer
    x = 16,029.79

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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.