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Finding the Fourth Proportional to 20,805.71, 28,714.40 and 11,732.80

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Solution

The fourth proportional to 20,805.71, 28,714.40 and 11,732.80 is: 16,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.71 : 28,714.40 = 11,732.80 : x
  2. Step 2: Convert to fraction form
    20,805.71/28,714.40 = 11,732.80/x
  3. Step 3: Cross multiply
    20,805.71x = 28,714.40 × 11,732.80
  4. Step 4: Simplify right side
    20,805.71x = 336,900,279.71
  5. Step 5: Solve for x
    x = 336,900,279.71/20,805.71
  6. Step 6: Final answer
    x = 16,192.68

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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.