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Finding the Fourth Proportional to 20,843.84, 28,764 and 11,412.24

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Solution

The fourth proportional to 20,843.84, 28,764 and 11,412.24 is: 15,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.84 : 28,764 = 11,412.24 : x
  2. Step 2: Convert to fraction form
    20,843.84/28,764 = 11,412.24/x
  3. Step 3: Cross multiply
    20,843.84x = 28,764 × 11,412.24
  4. Step 4: Simplify right side
    20,843.84x = 328,261,671.36
  5. Step 5: Solve for x
    x = 328,261,671.36/20,843.84
  6. Step 6: Final answer
    x = 15,748.62

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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.